UC-NRLF 


B    3    111    SMO 


ABLES  OF 


fk^mpouiid  Interest  Functions 

,nb  I  and 

G  slB    Logarithms  of 
impound  Interest  Functions 


JAMES  W.  GLOVER 


HARRY  C.  CARVER 


s. 


CNJ 
CO 

CM 

CO 

o 

>- 


GEORGE   WAHR;   PUBLLSHER 


P^ 


TABLES 

of 


Compound  Interest  Functions 


and 


Logarithms  of  Compound 
Interest  Functions 


"b«f 


Ba 


JAMES  W.  GLOVER 

Professor  of  Mathemalics  and  Insurance, 
University  of  Michigan 

and 

HARRY  C.  CARVER 

Associate  Professor  of  Mathematics  and  Insarnnce^ 
University  of  Michigan 


r  ■      I 


"b-f 


ANN  ARBOR,  MICHIGAN 


George  Wahr,  Publisher 
1921 


Engineering 
Library 


"^v 


ve... 


Copyright  19'21 
By  GEORGE  WAHB 


MILLARD  PRESS 
Ann  Arbor 


PREFACE 

THESE  tables  are  intended  to  be  used  in  connection  with 
college  texts  on  the  mathematics  of  investment  and  finance. 
Bankers,  engineers,  and  actuaries  will  also  find  them  of  ser- 
vice in  compound  interest  calculations. 

Fourteen  tables  of  values  of  compound  interest  functions  are 
given,  eight  of  which  are  expressed  in  natural  numbers  and  six  in 
logarithms.  The  natural  numbers  are  given  to  eight  and  the 
logarithms  to  seven  places  of  decimals.  They  are  given  for  100 
years  or  periods  and  for  the  following  sixteen  rates  of  interest: 
1%,  1M%,  13^%,  1M%,  2%,  2M%,  23^%,  2H%,  3%,  33^%, 
4%,  41^%,  5%,  53^%,  6%,  7%.  These  rates  will  be  found  to 
cover  most  of  the  financial  transactions  occurring  in  practice. 

The  auxihary  tables  VI,  VII,  VIII,  IX,  X,  XI,  will  be  found  very 
useful  in  connection  with  calculations  involving  frequent  interest 
conversions  and  installment  payments. 

The  logarithmic  tables  are  designed  to  facilitate  the  work  of 
computation  where  arithmometers  are  not  available;  they  may 
also  be  employed  to  familiarize  the  student  with  the  use  of  logar- 
ithms. 

Ann  Arbor,  Michigan  James  W.  Glover 

September,  1921  Harry  C.  Carver 


458630 


>         1     1,      3     '     '  ' 

'     '  ^  1  '  V  '    ' 


1  ■>■,■>■>  ■>      'I'l-^l' 


TABLE  OF  CONTENTS 

VALUES  OF  COMPOUND  INTEREST  FUNCTIONS 

Amount  of  1  at  Compound  Interest                                                           Page 
TABLE  I.     (1+i)" 8 

Present  A  alue  of  1  at  Compound  Interest 

TABLE  IL      t"=  (1+i)-" 16 

Amount  of  1  per  Annum  at  Compound  Interest 

TABLE  in.     s__  =  [(1+i)"— l]/i 24 

ji) 

Present  Value  of  1  per  Annum  at  Compound  Interest 

TABLE  IV.     a_  =  (1  +v")/i 32 

nj 

Annuity  Whose  Present  Value  atXompound  Interest  Is  1 

TABLE  V.     a_  =i/(l— i") 40 

Amount  of  1  at  Compound  Interest  for  Fractional  Periods 

TABLE  VI.     (l+i)i/P 48 

Nominal  Rate  of  Interest ./  with  Frequency  of  Conversion  p 
Corresponding  to  Effective  Rate  of  Interest  i 

TABLE  VIII.    j(p)  =p[(l+i)i/P— 1] 50 

Amount  at  End  of  Year  at  Compound  Interest  of  p  Installments 
Each  of  1/p  Deposited  at  End  of  Each  pth  Part  of  Year 

TABLE  X.     s(p)=i/j(„. 52 

il  ^^' 

LOGARITHMS  OF 
VALUES  OF  COMPOUND  INTEREST  FUNCTIONS 

Logarithm  of  Amount  of  1  at  Compound  Interest 

TABLE  XII.     log  (1+i)" 54 

Logarithm  of  Amount  of  1  per  Annum  at  Compound  Interest 

TABLE  XIII.     logs^ 62 


n\ 


Logarithm  of  Present  Value  of  1  per  Annum  at  Compound  Interest 

TABLE  XIV.     loga^ 70 


n\ 


Logarithm  of  Amount  of  1  at  Compound  Interest  for  Fractional 
Periods 

TABLE  VII.     log  (l+i)l/P 49 

Logarithm  of  Nominal  Rate  of  Interest  j  with  Frequency  of  Con- 
version p  Corresponding  to  Effective  Rate  of  Interest  i 

TABLE  IX.     fog  j(p) 51 

Logarithm  of  Amount  at  End  of  Year  at  Compound  Interest  of  p  In- 
stallments Each  of  1/p  Deposited  at  End  of  pth  Part  of  Year 

TABLE  XI.     log  sip) 53 

il 

7 


Amount  of  1  at  Compound  Interest 


TABLE  I. 

t-       (l  +  i)" 

n 

1% 

1  \^f  ■ 

1  l^o/ 

1%% 

n 

1 

1.0100  0000 

1.0125  0000 

1.0150  0000 

1.0175  0000 

1 

2 

1.0201  0000 

1.0251  5625 

1.0302  2500 

1.0353  0625 

2 

3 

1.0303  0100 

1.0379  7070 

1.0456  7838 

1.0534  241 1 

3 

4 

1.0406  0401 

1.0509  4534 

1.0613  6355 

1.0718  5903 

4 

5 

1.0510  1005 

1.0640  8215 

1.0772  8400 

1.0906  1656 

5 

6 

1.0615  2015 

1.0773  8318 

1.0934  4326 

1.1097  0235 

6 

7 

1.0721  3535 

1.0908  5047 

1.1098  4491 

1.1291  2215 

7 

8 

1.0828  5671 

1.1044  8610 

1.1264  9259 

1.1488  8178 

8 

9 

1.0936  8527 

1.1182  9218 

1.1433  8998 

1.1689  8721 

9 

10 

1.1046  2213 

1.1322  7083 

1.1605  4083 

1.1894  4449    ' 

10 

11 

1.1156  6835 

1.1464  2422 

1.1779  4894 

1.2102  5977 

11 

12 

1.1268  2503 

1.1607  5452 

1.1956  1817 

1.2314  3931 

12 

13 

1.1380  9328 

1.1752  6395 

1.2135  5244 

1.2529  8950 

13 

14 

1.1494  7421 

1.1899  5475 

1.2317  5573 

1.2749  1682 

14 

15 

1.1609  6896 

1.2048  2918 

1.2502  3207 

1.2972  2786 

15 

16 

1.1725  7864 

1.2198  8955 

1.2689  8555 

1.3199  2935 

16 

17 

1.1843  0443 

1.2351  3817 

1.2880  2033 

1.3430  281 1 

17 

18 

1.1961  4748 

1.2505  7739 

1.3073  4064 

1.3665  31 11 

18 

19 

1.2081  0895 

1.2662  0961 

1.3269  5075 

1.3904  4540 

19 

20 

1.2201  9004 

1.2820  3723 

1.3468  5501 

1.4147  7820 

20 

21 

1.2323  9194 

1.2980  6270 

1.3670  5783 

1.4395  3681 

21 

22 

1.2447  1586 

1.3142  8848 

1.3875  6370 

1.4647  2871 

22 

23 

1.2571  6302 

1.3307  1709 

1.4083  7715 

1.4903  6146 

23 

24 

1.2697  3465 

1.3473  5105 

1.4295  0281 

1.5164  4279 

24 

25 

1.2824  3200 

1.3641  9294 

1.4509  4535 

1.5429  8054 

25 

26 

1.2952  5631 

1.3812  4535 

1.4727  0953 

1.5699  8269 

26 

27 

1.3082  0888 

1.3985  1092 

1.4948  0018 

1.5974  5739 

27 

28 

1.3212  9097 

1.4159  9230 

1.5172  2218 

1.6254  1290 

28 

29 

1.3345  0388 

1.4336  9221 

1.5399  8051 

1.6538  5762 

29 

30 

1.3478  4892 

1.4516  1336 

1.5630  8022 

1.6828  0013 

30 

31 

1.3613  2740 

1.4697  5853 

1.5865  2642 

1.7122  4913 

31 

32 

1.3749  4068 

1.4881  3051 

1.6103  2432 

1.7422  1349 

32 

33 

1.3886  9009 

1.5067  3214 

1.6344  7918 

1.7727  0223 

33 

34 

1.4025  7699 

1.5255  6629 

1.6589  9637 

1.8037  2452 

34 

35 

1.4166  0276 

1.5446  3587 

1.6838  8132 

1.8352  8970 

35 

36 

1.4307  6878 

1.5639  4382 

1.7091  3954 

1.8674  0727 

36 

37 

1.4450  7647 

1.5834  9312 

1.7347  7663 

1.9000  8689 

37 

38 

1.4595  2724 

1.6032  8678 

1.7607  9828 

1.9333  3841 

38 

39 

1.4741  2251 

1.6233  2787 

1.7872  1025 

1.9671  7184 

39 

40 

1.4888  6373 

1.6436  1946 

1.8140  1841 

2.0015  9734 

40 

41 

1.5037  5237 

1.6641  6471 

1.8412  2868 

2.0366  2530 

41 

42 

1.5187  8989 

1.6849  6677 

1.8688  4712 

2.0722  6624 

42 

43 

1.5339  7779 

1.7060  2885 

1.8968  7982 

2.1085  3090 

43 

44 

1.5493  1757 

1.7273  5421 

1.9253  3302 

2.1454  3019 

44 

45 

1   1.5648  1075 

! 

1.7489  4614 

1.9542  1301 

2.1829  7522 

45 

46 

1.5804  5885 

1.7708  0797 

1.9835  2621 

2.2211  7728 

!   46 

47 

1.5962  6344 

1.7929  4306 

2.0132  7910 

2.2600  4789 

47 

48 

1.6122  2608 

'    1.8153  5485 

2.0434  7829 

2.2995  9872 

48 

49 

1.6283  4834 

1.8380  4679 

2.0741  3046 

1    2.3398  4170 

49 

50 

1.6446  3182 

1.8610  2237 

2.1052  4242 

2.3807  8893 

50 

Amount  of  1  at  Compound  Interest 


TABLE  I. 


(1+i)" 


n 

1%    1 

1  VC 

1  Vf' 

1%% 

n 

51 

1.6610  7814 

1.8842  8515 

2.1368  2106 

2.4224  5274 

51 

52 

1.6776  8892 

1.9078  3872 

2.1688  7337 

2.4648  4566 

52 

53 

1.6944  6581 

1.9316  8670 

2.2014  0647 

2.5079  8046 

53 

54 

1.71 14  1047 

1.9558  3279 

2.2344  2757 

2.5518  7012 

54 

55 

1.7285  2457   ; 

1.9802  8070 

2.2679  4398 

2.5965  2785 

55 

56 

1.7458  0982 

2.0050  3420 

2.3019  6314 

2.6419  6708 

56 

57 

1.7632  6792   ' 

2.0300  9713 

2.3364  9259 

2.6882  0151 

57 

58 

1.7809  0060 

2.0554  7335 

2.3715  3998 

2.7352  4503 

58 

59 

1.7987  0960 

2.0811  6676 

2.4071  1308 

2.7831  1182 

59 

60 

1.8166  9670 

2.1071  8135 

2.4432  1978 

2.8318  1628 

60 

61 

1.8348  6367 

2.1335  2111 

2.4798  6807 

2.8813  7306 

61 

62 

1.8532  1230 

2.1601  9013 

2.5170  6609 

2.9317  9709 

62 

63 

1.8717  4443 

2.1871  9250 

2.5548  2208 

2.9831  0354 

63 

64 

1.8904  6187 

2.2145  3241 

2.5931  4442 

3.0353  0785 

64 

65 

1.9093  6649 

2.2422  1407 

1 

2.6320  4158 

3.0884  2574 

65 

66 

1.9284  6015 

2.2702  4174 

2.6715  2221 

3.1424  7319 

66 

67 

1.9477  4475 

2.2986  1976 

2.71 15  9504 

3.1974  6647 

67 

68 

1.9672  2220 

2.3273  5251 

2.7522  6896 

3.2534  2213 

68 

69 

1.9868  9442 

2.3564  4442 

2.7935  5300 

3.3103  5702 

69 

70 

2.0067  6337 

2.3858  9997 

2.8354  5629 

3.3682  8827 

70 

71 

2.0268  3100 

2.4157  2372 

2.8779  8814 

3.4272  3331 

71 

72 

2.0470  9931 

2.4459  2027 

2.921 1  5796 

3.4872  0990 

72 

73 

2.0675  7031 

2.4764  9427 

2.9649  7533 

3.5482  3607 

73 

74 

2.0882  4601 

2.5074  5045 

3.0094  4996 

3.6103  3020 

74 

75 

2.1091  2847 

2.5387  9358 

3.0545  9171 

3.6735  1098 

75 

76 

2.1302  1975 

2.5705  2850 

3.1004  1059 

3.7377  9742 

76 

77 

2.1515  2195 

2.6026  601 1 

3.1469  1674 

3.8032  0888 

77 

78 

2.1730  3717 

2.6351  9336 

3.1941  2050 

3.8697  6503 

78 

79 

2.1947  6754 

2.6681  3327 

3.2420  3230 

3.9374  8592 

79 

80 

2.2167  1522 

2.7014  8494 

3.2906  6279 

4.0063  9192 

80 

81 

2.2388  8237 

2.7352  5350 

3.3400  2273 

4.0765  0378 

81 

82 

2.2612  7119 

2.7694  4417 

3.3901  2307 

4.1478  4260 

82 

83 

2.2838  8390 

2.8040  6222 

3.4409  7492 

4.2204  2984 

83 

84 

2.3067  2274 

2.8391  1300 

3.4925  8954 

4.2942  8737 

84 

85 

2.3297  8997 

2.8746  0191 

3.5449  7838 

4.3694  3740 

!  '' 

86 

2.3530  8787 

2.9105  3444 

3.5981  5306 

4.4459  0255 

86 

87 

2.3766  1875 

2.9469  1612 

3.6521  2535 

4.5237  0584 

87 

88 

2.4003  8494 

2.9837  5257 

3.7069  0723 

4.6028  7070 

88 

89 

2.4243  8879 

3.0210  4948 

3.7625  1084 

4.6834  2093 

89 

90 

2.4486  3267 

3.0588  1260 

3.8189  4851 

4.7653  8080 

90 

91 

2.4731  1900 

3.0970  4775 

3.8762  3273 

4.8487  7496 

91 

92 

2.4978  5019 

3.1357  6085 

3.9343  7622 

4.9336  2853 

92 

93 

2.5228  2869 

3.1749  5786 

3.9933  9187 

5.0199  6703 

93 

94 

2.5480  5698 

3.2146  4483 

4.0532  9275 

5.1078  1645 

94 

95 

2.5735  3755 

3.2548  2789 

4.1 140  9214 

5.1972  0324 

95 

96 

2.5992  7293 

3.2955  1324 

4.1758  0352 

5.2881  5429 

96 

97 

2.6252  6565 

3.3367  0716 

4.2384  4057 

5.3806  9699 

97 

98 

2.6515  1831 

3.3784  1600 

4.3020  1718 

5.4748  5919 

98 

99 

2.6780  3349 

3.4206  4620 

4.3665  4744 

5.5706  6923 

99 

100 

2.7048  1383 

3.4634  0427 

4.4320  4565 

5.6681  5594 

100 

Amount  of  1  at  Compound  Interest 


TABLE  I. 


(1+i)" 


re 

2% 

2h% 

2%% 

re 

1 

1.0200  0000 

1    1.0225  0000 

1.0250  0000 

1.0275  0000 

1 

2 

1.0404  0000 

1.0455  0625 

1.0506  2500 

1.0557  5625 

2 

3 

1.0612  0800 

1.0690  3014 

1.0768  9063 

1.0847  8955 

3 

4 

1.0824  3216 

1.0930  8332 

1.1038  1289 

1.1146  2126 

4 

5 

1.1040  8080 

1.1176  7769 

1.1314  0821 

,    1.1452  7334 

5 

6 

1.1261  6242 

1.1428  2544 

1.1596  9342 

1.1767  6836 

6 

7 

1.1486  8567 

1.1685  3901 

1.1886  8575 

1.2091  2949 

7 

8 

1.1716  5938 

1.1948  31 14 

1.2184  0290 

1.2423  8055 

8 

9 

1.1950  9257 

1.2217  1484 

1.2488  6297 

1.2765  4602 

9 

10 

1.2189  9442 

1    1.2492  0343 

1.2800  8454 

1.31 16  5103 

10 

11 

1.2433  7431 

1.2773  1050 

1.3120  8666 

1.3477  2144 

1  1 

12 

1.2682  4179 

1.3060  4999 

1.3448  8882 

1.3847  8378 

12 

13 

1.2936  0663 

1.3354  361 1 

1.3785  1 104 

1.4228  6533 

13 

14 

1.3194  7876 

1.3654  8343 

1.4129  7382 

1.4619  9413 

14 

15 

1.3458  6834 

1.3962  0680 

1.4482  9817 

1.5021  9896 

15 

16 

1.3727  8571 

1.4276  2146 

1.4845  0562 

1.5435  0944 

16 

17 

1.4002  4142 

1.4597  4294 

1.5216  1826 

1.5859  5595 

17 

18 

1.4282  4625 

1.4925  8716 

1.5596  5872 

1.6295  6973 

18 

19 

1.4568  1  117 

1.5261  7037 

1.5986  5019 

1.6743  8290 

19 

20 

1.4859  4740 

1.5605  0920 

1.6386  1644 

1.7204  2843 

20 

21 

1.5156  6634 

1.5956  2066 

1.6795  8185 

1.7677  4021 

21 

22 

1.5459  7967 

1.6315  2212 

1.7215  7140 

1.8163  5307 

22 

23 

1.5768  9926 

1.6682  3137 

1.7646  1068 

1.8663  0278 

23 

24 

1.6084  3725 

1.7057  6658 

1.8087  2595 

1.9176  2610 

24 

25 

1.6406  0599 

1.7441  4632 

1.8539  4410 

1.9703  6082 

25 

26 

1.6734  181 1 

1.7833  8962 

1.9002  9270 

2.0245  4575 

26 

27 

1.7068  8648 

1.8235  1588 

1.9478  0002 

2.0802  2075 

27 

28 

1.7410  2421 

1.8645  4499 

1.9964  9502 

2.1374  2682 

28 

29 

1.7758  4469 

1.9064  9725 

2.0464  0739 

2.1962  0606 

29 

30 

1.8113  6158 

1.9493  9344 

2.0975  6758 

2.2566  0173 

30 

31 

1.8475  8882 

1.9932  5479 

2.1500  0677 

2.3186  5828 

31 

32 

1.8845  4059 

2.0381  0303 

2.2037  5694 

2.3824  2138 

32 

33 

1.9222  3140 

2.0839  6034 

2.2588  5086 

2.4479  3797 

33 

34 

1.9606  7603 

2.1308  4945 

2.3153  2213 

2.5152  5626 

34 

35 

1.9998  8955 

2.1787  9356 

2.3732  0519 

2.5844  2581 

35 

36 

1 

2.0398  8734 

2.2278  1642 

2.4325  3532 

2.6554  9752 

36 

37 

2.0806  8509 

2.2779  4229 

2.4933  4870 

2.7285  2370 

37 

38 

2.1222  9879 

2.3291  9599 

2.5556  8242 

2.8035  5810 

38 

39 

2.1647  4477 

2.3816  0290 

2.6195  7448 

2.8806  5595 

39 

40 

2.2080  3966 

2.4351  8897 

2.6850  6384 

2.9598  7399 

40 

41 

2.2522  0046 

2.4899  8072   , 

2.7521  9043 

3.0412  7052 

41 

42 

2.2972  4447 

2.5460  0528 

2.8209  9520 

3.1249  0546 

42 

43 

2.3431  8936 

2.6032  9040 

2.8915  2008 

3.2108  4036 

43 

44 

2.3900  5314 

2.6618  6444 

2.9638  0808   | 

3.2991  3847 

44 

45 

2.4378  5421 

2.7217  5639 

3.0379  0328 

3.3898  6478 

45 

46 

2.4866  1129    ' 

2.7829  9590 

3.1138  5086 

3.4830  8606 

46 

47 

2.5363  4351 

2.8456  1331 

3.1916  9713 

3.5788  7093 

47 

48 

2.5870  7039 

2.9096  3961 

3.2714  8956 

3.6772  8988 

48 

49 

2.6388  1179 

2.9751  0650 

3.3532  7680 

3.7784  1535   1 

49 

50 

2.6915  8803 

3.0420  4640   1 

3.4371  0872 

3.8823  2177 

50 

10 


Amount  of  1  at  Compound  Interest 


TABLE  I. 


(1+i)" 


n 

2% 

2Ji% 

•^'2  /O 

n 

51 

2.7454  1979 

3.1  104  9244 

3.5230  3644 

3.9890  8562 

51 

52 

2.8003  2819 

3.1804  7852 

3.6111  1235 

4.0987  8547 

52 

53 

2.8563  3475 

3.2520  3929 

3.7013  9016 

4.21 15  0208 

53 

54 

2.9134  6144 

3.3252  1017 

3.7939  2491   [ 

4.3273  1838 

54 

55 

2.9717  3067 

3.4000  2740 

3.8887  7303   ' 

4.4463  1964 

55 

56 

i 
3.0311  6529 

3.4765  2802 

3.9859  9236 

4.5685  9343   1 

56 

57 

3.0917  8859 

3.5547  4990 

4.0856  4217 

4.6942  2975 

57 

58 

3.1536  2436 

3.6347  3177 

4.1877  8322 

4.8233  2107 

58 

59 

3.2166  9685 

3.7165  1324 

4.2924  7780 

4.9559  6239   1 

59 

60 

3.2810  3079 

3.8001  3479 

4.3997  8975 

5.0922  5136 

60 

61   i 

3.3466  5140 

3.8856  3782 

4.5097  8449 

5.2322  8827 

61 

62 

3.4135  8443 

3.9730  6467 

4.6225  2910 

5.3761  7620 

62 

63 

3.4818  5612 

4.0624  5862 

4.7380  9233   ! 

5.5240  2105 

63 

64 

3.5514  9324 

4.1538  6394   1 

4.8565  4464 

5.6759  3162 

64 

65 

3.6225  231 1 

4.2473  2588   | 

4.9779  5826 

5.8320  1974 

65 

66  ' 

3.6949  7357 

4.3428  9071 

5.1024  0721 

5.9924  0029 

66 

67 

3.7688  7304 

4.4406  0576 

5.2299  6739 

6.1571  9130 

67 

68 

3.8442  5050 

4.5405  1939 

5.3607  1658 

6.3265  1406 

68 

69 

3.9211  3551 

4.6426  8107 

5.4947  3449 

6.5004  9319 

69 

70 

3.9995  5822 

4.7471  4140 

5.6321  0286 

6.6792  5676 

70 

71 

4.0795  4939 

4.8539  5208 

5.7729  0543 

6.8629  3632 

71 

72 

4.1611  4038 

4.9631  6600 

5.9172  2806 

7.0516  6706 

72 

73 

4.2443  6318 

5.0748  3723 

6.0651  5876 

7.2455  8791 

73 

74 

4.3292  5045 

5.1890  2107 

6.2167  8773 

7.4448  4158 

74 

75 

4.4158  3546 

5.3057  7405 

6.3722  0743 

7.6495  7472 

75 

76 

4.5041  5216 

5.4251  5396 

6.5315  1261 

7.8599  3802 

76 

77 

4.5942  3521 

5.5472  1993 

6.6948  0043 

8.0760  8632 

77 

78 

4.6861  1991 

5.6720  3237 

6.8621  7044 

8.2981  7869 

78 

79 

4.7798  4231 

5.7996  5310 

7.0337  2470 

8.5263  7861 

79 

80 

4.8754  3916 

5.9301  4530 

7.2095  6782 

8.7608  5402 

80 

81 

4.9729  4794 

6.0635  7357 

7.3898  0701 

9.0017  7751 

81 

82 

5.0724  0690 

6.2000  0397 

7.5745  5219 

9.2493  2639 

82 

83 

5.1738  5504 

6.3395  0406 

7.7639  1599 

9.5036  8286 

83 

84 

5.2773  3214 

6.4821  4290 

7.9580  1389 

9.7650  3414 

84 

85 

5.3828  7878 

6.6279  9112 

8.1569  6424 

10.0335  7258 

85 

86 

5.4905  3636 

6.7771  2092 

8.3608  8834 

10.3094  9583 

86 

87 

5.6003  4708 

6.9296  0614 

8.5699  1055 

10.5930  0696 

87 

88 

5.7123  5402 

7.0855  2228 

8.7841  5832 

10.8843  1465 

88 

89 

5.8266  0110 

7.2449  4653 

9.0037  6228 

11.1836  3331 

89 

90 

5.9431  3313 

7.4079  5782 

9.2288  5633 

11.4911  8322 

90 

91 

6.0619  9579 

7.5746  3688 

9.4595  7774 

11.8071  9076 

91 

92 

6.1832  3570 

7.7450  6621 

9.6960  6718 

12.1318  8851 

92 

93 

6.3069  0042 

7.9193  3020 

9.9384  6886 

12.4655  1544 

93 

94 

6.4330  3843 

8.0975  1512 

10.1869  3058 

12.8083  1711 

94 

95 

6.5616  9920 

8.2797  0921 

10.4416  0385 

13.1605  4584 

95 

96 

6.6929  3318 

8.4660  0267 

10.7026  4395 

13.5224  6085 

96 

97 

6.8267  9184 

8.6564  8773 

10.9702  1004 

13.8943  2852 

97 

98 

6.9633  2768 

8.8512  5871 

11.2444  6530 

14.2764  2255 

98 

99 

7.1025  9423 

9.0504  1203 

11.5255  7693 

14.6690  2417 

99 

100 

7.2446  4612 

9.2540  4630 

11.8137  1635 

15.0724  2234 

100 

11 


Amount  of  1  at  Compound  Interest 


TABLE  I. 


(1+i)" 


n 

3% 

3^'/o 

4% 

■*''2/C 

n 

1 

1.0300  0000 

1.0350  0000 

1.0400  0000 

1.0450  0000 

1 

2 

1.0609  0000 

1.0712  2500 

1.0816  0000 

1.0920  2500 

2 

3 

1.0927  2700 

1.1087  1788 

1.1248  6400 

1.141 1  6613 

3 

4 

1.1255  0881 

1.1475  2300 

1.1698  5856 

1.1925  1860 

4 

5 

1.1592  7407 

1.1876  8631 

1.2166  5290 

1.2461  8194 

5 

6 

1.1940  5230 

1.2292  5533 

1.2653  1902 

1.3022  6012 

6 

7 

1.2298  7387 

1.2722  7926 

1.3159  3178 

1.3608  6183 

7 

8 

1.2667  7008 

1.3168  0904 

1.3685  6905 

1.4221  0061 

8 

9 

1.3047  7318 

1.3628  9735 

1.4233  1181 

1.4860  9514 

9 

10 

1.3439  1638 

1.4105  9876 

1.4802  4428 

1.5529  6942 

10 

11 

1.3842  3387 

1.4599  6972 

1.5394  5406 

1.6228  5305 

11 

12 

1.4257  6089 

1.5110  6866 

1.6010  3222 

1.6958  8143 

12 

13 

1.4685  3371 

1.5639  5606 

1.6650  7351 

1.7721  9610 

13 

14 

1.5125  8972 

1.6186  9452 

1.7316  7645 

1.8519  4492 

14 

15 

1.5579  6742 

1.6753  4883 

1.8009  4351 

1.9352  8244 

15 

16 

1.6047  0644 

1.7339  8604 

1.8729  8125 

2.0223  7015 

16 

17 

1.6528  4763 

1.7946  7555 

1.9479  0050 

2.1133  7681 

17 

18 

1.7024  3306 

1.8574  8920 

2.0258  1652 

2.2084  7877 

18 

19 

1.7535  0605 

1.9225  0132 

2.1068  4918 

2.3078  6031 

19 

20 

1.8061  1123 

1.9897  8886 

2.1911  2314 

2.4117  1402 

20 

21 

1.8602  9457 

2.0594  3147 

2.2787  6807 

2.5202  4116 

21 

22 

1.9161  0341 

2.1315  1158 

2.3699  1879 

2.6336  5201 

22 

23 

1.9735  8651 

2.2061  1448 

2.4647  1554 

2.7521  6635 

23 

24 

2.0327  9411 

2.2833  2849 

2.5633  0416 

2.8760  1383 

24 

25 

2.0937  7793 

2.3632  4498 

2.6658  3633 

3.0054  3446 

25 

26 

2.1565  9127 

2.4459  5856 

2.7724  6978 

3.1406  7901 

26 

27 

2.2212  8901 

2.5315  6711 

2.8833  6858 

3.2820  0956 

27 

28 

2.2879  2768 

2.6201  7196 

2.9987  0332 

3.4296  9999 

28 

29 

2.3565  6551 

2.7118  7798 

3.1186  5145 

3.5840  3649 

29 

30 

2.4272  6247 

2.8067  9370 

3.2433  9751 

3.7453  1813 

30 

31 

2.5000  8035 

2.9050  3148 

3.3731  3341 

3.9138  5745 

31 

32 

2.5750  8276 

3.0067  0759 

3.5080  5875 

4.0899  8104 

32 

33 

2.6523  3524 

3.1 119  4235 

3.6483  8110 

4.2740  3018 

33 

34 

2.7319  0530 

3.2208  6033 

3.7943  1634 

4.4663  6154 

34 

35 

2.8138  6245 

3.3335  9045 

3.9460  8899 

4.6673  4781 

35 

36 

2.8982  7833 

3.4502  6611 

4.1039  3255 

4.8773  7846 

36 

37 

2.9852  2668 

3.5710  2543 

4.2680  8986 

5.0968  6049 

37 

38 

3.0747  8348 

3.6960  1132 

4.4388  1345 

5.3262  1921 

38 

39 

3.1670  2698 

3.8253  7171 

4.6163  6599 

5.5658  9908 

39 

40 

3.2620  3779 

3.9592  5972 

4.8010  2063 

5.8163  6454 

40 

41 

3.3598  9893 

4.0978  3381 

4.9930  6145 

6.0781  0094 

41 

42 

3.4606  9589 

4.2412  5799 

5.1927  8391 

6.3516  1548 

42 

43 

3.5645  1677 

4.3897  0202 

5.4004  9527 

6.6374  3818 

43 

44 

3.6714  5227 

4.5433  4160 

5.6165  1508 

6.9361  2290 

44 

45 

3.7815  9584 

4.7023  5855 

5.8411  7568 

7.2482  4843 

45 

46 

3.8950  4372 

4.8669  4110 

6.0748  2271 

7.5744  1961 

46 

47 

4.01 18  9503 

5.0372  8404 

6.3178  1562 

7.9152  6849 

47 

48 

4.1322  5188 

5.2135  8898 

6.5705  2824 

8.2714  5557 

48 

49 

4.2562  1944 

5.3960  6459 

6.8333  4937 

8.6436  7107 

49 

50 

4.3839  0602 

5.5849  2686 

7.1066  8335 

9.0326  3627 

50 

12 


Amount  of  1  at  Compound  Interest 


TABLE  I. 


(1  +  i)" 


n 

•    3% 

1 1  c 

4% 

4J$% 

1 

n 

51 

4.5154  2320 

5.7803  9930 

7.3909  5068 

9.4391 

0490 

51 

52 

4.6508  8590 

5.9827  1327 

7.6865  8871 

9.8638 

6463 

52 

53 

4.7904  1247 

6.1921  0824 

7.9940  5226 

10.3077 

3853 

53 

54 

4.9341  2485 

6.4088  3202 

8.3138  1435 

10.7715 

8677 

54 

55 

5.0821  4859 

6.6331  4114 

8.6463  6692   ' 

11.2563 

0817 

55 

56 

5.2346  1305 

6.8653  0108 

8.9922  2160 

11.7628 

4204 

56 

57 

5.3916  5144 

7.1055  8662 

9.3519  1046 

12.2921 

6993 

57 

58 

5.5534  0098 

7.3542  8215 

9.7259  8688 

12.8453 

1758 

58 

59 

5.7200  0301 

7.6116  8203 

10.1  150  2635 

13.4233 

5687 

59 

60 

5.8916  0310 

7.8780  9090 

10.5196  2741 

14.0274 

0793 

60 

61 

6.0683  5120 

8.1538  2408 

10.9404  1250 

14.6586 

4129 

61 

62 

6.2504  0173 

8.4392  0793 

11.3780  2900 

15.3182 

8014 

62 

63 

6.4379  1379 

8.7345  8020 

11.8331  5016 

16.0076 

0275 

63 

64 

6.6310  5120 

9.0402  9051 

12.3064  7617 

16.7279 

4487 

64 

65 

6.8299  8273 

9.3567  0068 

12.7987  3522 

17.4807 

0239 

65 

66 

7.0348  8222 

9.6841  8520 

13.3106  8463 

18.2673 

3400 

66 

67 

7.2459  2868 

10,0231  3168 

13.8431  1201 

19.0893 

6403 

67 

68 

7.4633  0654 

10.3739  4129 

14.3968  3649 

19.9483 

8541 

68 

69 

7.6872  0574 

10.7370  2924 

14.9727  0995 

20.8460 

6276 

69 

70 

7.9178  2191 

1  1.1  128  2526 

15.5716  1835 

21.7841 

3558 

70 

71 

8.1553  5657 

1 1.5017  7414 

16.1944  8308 

22.7644 

2168 

71 

72 

8.4000  1727 

11.9043  3624 

16.8422  6241 

23.7888 

2066 

72 

73 

8.6520  1778 

12.3209  8801 

17.5159  5290 

24.8593 

1759 

73 

74 

8.91 15  7832 

12.7522  2259 

18.2165  9102 

25.9779 

8688 

74 

75 

9.1789  2567 

13.1985  5038 

18.9452  5466 

27.1469 

9629 

75 

76 

9.4542  9344 

13.6604  9964 

19.7030  6485 

28.3686 

1112 

76 

77 

9.7379  2224 

14.1386  1713 

20.491 1  8744 

29.6451 

9862 

77 

78 

10.0300  5991 

14.6334  6873 

21.3108  3494 

30.9792 

3256 

78 

79 

10.3309  6171 

15.1456  4013 

22.1632  6834 

32.3732 

9802 

79 

80 

10.6408  9056 

15.6757  3754 

23.0497  9907 

33.8300 

9643 

80 

81 

10.9601  1727 

16.2243  8835 

23.9717  9103 

35.3524 

5077 

81 

82 

11.2889  2079 

16.7922  4195 

24.9306  6267 

36.9433 

1  106 

82 

83 

1  1.6275  8842 

17.3799  7041 

25.9278  8918 

38.6057 

6006 

83 

84 

11.9764  1607 

17.9882  6938 

26.9650  0475 

40.3430 

1926 

84 

85 

12.3357  0855 

18.6178  5881 

28.0436  0494 

42.1584 

5513 

85 

86 

12.7057  7981 

'   19.2694  8387 

29.1653  4914 

44.0555 

8561 

86 

87 

13.0869  5320 

19.9439  1580 

30.3319  6310 

46.0380 

8696 

87 

88 

13.4795  6180 

20.6419  5285 

31.5452  4163 

48.1098 

0087 

88 

89 

13.8839  4865 

21.3644  2120 

32.8070  5129 

50.2747 

4191 

89 

90 

14.3004  671  1 

22.1121  7595 

34.1  193  3334 

52.5371 

0530 

90 

91 

14.7294  8112 

22.8861  0210 

35.4841  0668 

54.9012 

7503 

91 

92 

15.1713  6556 

23.6871  1568 

36.9034  7094 

57.3718 

3241 

92 

93 

15.6265  0652 

24.5161  6473 

38.3796  0978 

59.9535 

6487 

93 

94 

16.0953  0172 

25.3742  3049 

39.9147  9417 

62.6514 

7529 

94 

95 

16.5781  6077 

26.2623  2856 

41.51 13  8594 

65.4707 

9168 

95 

96 

17.0755  0559 

27.1815  1006 

43.1718  4138 

68.4169 

7730 

96 

97 

17.5877  7076 

28.1328  6291 

44.8987  1503 

71.4957 

4128 

97 

98 

18.1 154  0388 

29.1  175  1311 

46.6946  6363 

74.7130 

4964 

98 

99 

18.6588  6600 

30.1366  2607 

48.5624  5018 

78.0751 

3687 

99 

100 

19.2186  3198 

31.1914  0798 

i   50.5049  4818 

1 

81.5885 

1803 

100 

13 


Amount  of  1  at  Compound  Interest 


TABLE  I. 


(1+i)" 


n 

o% 

6':c 

7Sc 

n 

1 

1.0500 

0000 

1.0550  0000 

1.0600 

0000 

1.0700 

0000 

1 

2 

1.1025 

0000 

1.1 130  2500 

1.1236 

0000 

1.1449 

0000 

2 

3 

1.1576 

2500 

1.1742  4138 

1.1910 

1600 

1.2250 

4300 

3 

4 

1.2155 

0625 

1.2388  2465 

1.2624 

7696 

1.3107 

9601 

4 

5 

1.2762 

8156 

1.3069  6001 

1.3382 

2558 

1.4025 

5173 

5 

6 

1.3400 

9564 

1.3788  4281 

1.4185 

1911 

1.5007 

3035 

6 

7 

1.4071 

0042 

1.4546  7916 

1.5036 

3026 

1.6057 

8148 

7 

8 

1.4774 

5544 

1.5346  8651 

1.5938 

4807 

1.7181 

8618 

8 

9 

1.5513 

2822 

1.6190  9427 

1.6894 

7896 

1.8384 

5921 

9 

10 

1.6288 

9463 

1.7081  4446 

1.7908 

4770 

1.9671 

5136 

10 

11 

1.7103 

3936 

1.8020  9240 

1.8982 

9856 

2.1048 

5195 

11 

12 

1.7958 

5633 

1.9012  0749 

2.0121 

9647 

2.2521 

9159 

12 

13 

1.8856 

4914 

2.0057  7390 

2.1329 

2826 

2.4098 

4500 

13 

14 

1.9799 

3160 

2.1  160  9146 

2.2609 

0396 

2.5785 

3415 

14 

15 

2.0789 

2818 

2.2324  7649 

2.3965 

5819 

2.7590 

3154 

15 

16 

2.1828 

7459 

2.3552  6270 

2.5403 

5168 

2.9521 

6375 

16 

17 

2.2920 

1832 

2.4848  0215 

2.6927 

727? 

3.1588 

1521 

17 

18 

2.4066 

1923 

2.6214  6627 

2.8543 

3915 

3.3799 

3228 

18 

19 

2.5269 

5020 

2.7656  4691 

3.0255 

9950 

3.6165 

2754 

19 

20 

2.6532 

9771 

2.9177  5749 

3.2071 

3547 

3.8696 

8446 

20 

21 

2.7859 

6259 

3.0782  3415 

3.3995 

6360 

4.1405 

6237 

21 

22 

2.9252 

6072 

3.2475  3703 

3.6035 

3742 

4.4304 

0174 

22 

23 

3.0715 

2376 

3.4261  5157 

3.8197 

4966 

4.7405 

2986 

22 

24 

3.2250 

9994 

3.6145  8990 

4.0489 

3464 

5.0723 

6695 

24 

25 

3.3863 

5494 

3.8133  9235 

4.2918 

7072 

5.4274 

3264 

25 

26 

3.5556 

7269 

4.0231  2893 

4.5493 

8296 

5.8073 

5292 

26 

27 

3.7334 

5632 

4.2444  0102 

4.8223 

4594 

6.2138 

6763 

27 

28 

3.9201 

2914 

4.4778  4307 

5.1  1  16 

8670 

6.6488 

3836 

28 

29 

4.1161 

3560 

4.7241  2444 

5.4183 

8790 

7.1142 

5705 

29 

30 

4.3219 

4238 

4.9839  5129 

5.7434 

91  17 

7.6122 

5504 

30 

31 

4.5380 

3949 

5.2580  6861 

6.0881 

0064 

8.1451 

1290 

31 

32 

4.7649 

4147 

5.5472  6238 

6.4533 

8668 

8.7152 

7080 

32 

33 

5.0031 

8854 

5.8523  6181 

6.8405 

8988 

9.3253 

3975 

33 

34 

5.2533 

4797 

6.1742  4171 

7.2510 

2528 

9.9781 

1354 

34 

35 

5.5160 

1537 

6.5138  2501 

7.6860 

8679 

10.6765 

8148 

35 

36 

5.7918 

1614 

6.8720  8538 

8.1472 

5200 

11.4239 

4219 

36 

37 

6.0814 

0694 

7.2500  5008 

8.6360 

8712 

12.2236 

1814 

37 

38 

6.3854 

7729 

7.6488  0283 

9.1542 

5235 

13.0792 

7141 

38 

39 

6.7047 

51  15 

8.0694  8699 

9.7035 

0749 

13.9948 

2041 

39 

40 

7.0399 

8871 

8.5133  0877 

10.2857 

1794 

14.9744 

5784 

40 

41 

7.3919 

8815 

8.9815  4076 

10.9028 

6101 

16.0226 

6989 

41 

42 

7.7615 

8756 

9.4755  2550 

11.5570 

3267 

17.1442 

5678 

42 

43 

8.1496 

6693 

9.9966  7940 

12.2504 

5463 

18.3443 

5475 

43 

44 

8.5571 

5028 

10.5464  9677 

12.9854 

8191 

19.6284 

5959 

44 

45 

8.9850 

0779 

11.1265  5409 

13.7646 

1083 

21.0024 

5176 

45 

46 

9.4342 

5818 

1  1.7385  1456 

14.5904 

8748 

22.4726 

2338 

46 

47 

9.9059 

7109 

12.3841  3287 

15.4659 

1673 

24.0457 

0702 

47 

48 

10.4012 

6965 

13.0652  6017 

16.3938 

7173 

25.7289 

0651 

48 

49 

10.9213 

3313 

13.7838  4948 

17.3775 

0403 

27.5299 

2997 

49 

50 

1  1.4673 

9979 

14.5419  6120 

18.4201 

5427 

29.4570 

2506 

50 

1 1 


Amount  of  1  at  Compound  Interest 


TABLE  I. 


(l  +  i)' 


n 

5% 

5H% 

6% 

7% 

n 

51 

12.0407 

6978 

15.3417 

6907 

19.5253  6353 

31.5190  1682 

51 

52 

12.6428 

0826 

16.1855 

6637 

20.6968  8534 

33.7253  4799 

52 

53 

13.2749 

4868 

17.0757 

7252 

21.9386  9846 

36.0861  2235 

53 

54 

13.9386 

961  1 

18.0149 

4001 

23.2550  2037 

38.6121  5092 

54 

55 

14.6356 

3092 

19.0057 

6171 

24.6503  2159 

41.3150  0148 

55 

56 

15.3674 

1246 

20.0510 

7860 

26.1293  4089 

44.2070  5159 

56 

57 

16.1357 

8309 

21.1538 

8793 

27.6971  0134 

47.3015  4520 

57 

58 

16.9425 

7224 

22.3173 

5176 

29.3589  2742 

50.6126  5336 

58 

59 

17.7897 

0085 

23.5448 

061  1 

31.1204  6307 

54.1555  3910 

59 

60 

18.6791 

8589 

24.8397 

7045 

32.9876  9085 

57.9464  2683 

60 

61 

19.6131 

4519 

26.2059 

5782 

34.9669  5230 

62.0026  7671 

61 

62 

20.5938 

0245 

27.6472 

8550 

37.0649  6944 

66.3428  6408 

62 

63 

21.6234 

9257 

29.1678 

8620 

39.2888  6761 

70.9868  6457 

63 

64 

22.7046 

6720 

30.7721 

1994 

41.6461  9967 

75.9559  4509 

64 

65 

23.8399 

0056 

32.4645 

8654 

44.1449  7165 

81.2728  6124 

65 

66 

25.0318 

9559 

34.2501 

3880 

46.7936  6994 

86.9619  6153 

66 

67 

26.2834 

9037 

36.1338 

9643 

49.6012  9014 

93.0492  9884 

67 

68 

27.5976 

6488 

38.1212 

6074 

52.5773  6755 

99.5627  4976 

68 

69 

28.9775 

4813 

40.2179 

3008 

55.7320  0960 

106.5321  4224 

69 

70 

30.4264 

2554 

42.4299 

1623 

59.0759  3018 

1 13.9893  9220 

70 

71 

31.9477 

4681 

44.7635 

6163 

62.6204  8599 

121.9686  4965 

71 

72 

33.5451 

3415 

47.2255 

5751 

66.3777  1515 

130.5064  5513 

72 

73 

35.2223 

9086 

49.8229 

6318 

70.3603  7806 

139.6419  0699 

73 

74 

36.9835 

1040 

52.5632 

2615 

74.5820  0074 

149.4168  4047 

74 

75 

38.8326 

8592 

55.4542 

0359 

79.0569  2079 

159.8760  1931 

75 

76 

40.7743 

2022 

58.5041 

8479 

83.8003  3603 

171.0673  4066 

76 

77 

42.8130 

3623 

61.7219 

1495 

88.8283  5620 

183.0420  5451 

77 

78 

44.9536 

8804 

65.1  166 

2027 

94.1580  5757 

195.8549  9832 

78 

79 

47.2013 

7244 

68.6980 

3439 

99.8075  4102 

209.5648  4820 

79 

80 

49.5614 

4107 

72.4764 

2628 

105.7959  9348 

224.2343  8758 

80 

81 

52.0395 

1312 

76.4626 

2973 

1 12.1437  5309 

239.9307  9471 

81 

82 

54.6414 

8878 

80.6680 

7436 

118.8723  7828 

256.7259  5034 

82 

83 

57.3735 

6322 

85.1048 

1845 

126.0047  2097 

274.6967  6686 

83 

84 

60.2422 

4138 

89.7855 

8347 

133.5650  0423 

293.9255  4054 

84 

85 

63.2543 

5344 

94.7237 

9056 

141.5789  0449 

314.5003  2838 

85 

86 

66.4170 

71  12 

99.9335 

9904 

150.0736  3875 

336.5153  5137 

86 

87 

69.7379 

2467 

105.4299 

4698 

159.0780  5708 

360.0714  2596 

87 

88 

73.2248 

2091 

1  11.2285 

9407 

168.6227  4050 

385.2764  2578 

88 

89 

76.8860 

6195 

1  17.3461 

6674 

178.7401  0493 

412.2457  7558 

89 

90 

80.7303 

6505 

123.8002 

0591 

189.4645  1 123 

441 .1029  7988 

90 

91 

84.7668 

8330 

130.6092 

1724 

200.8323  8190 

471.9801  8847 

91 

92 

89.0052 

2747 

137.7927 

2419 

212.8823  2482 

505.0188  0166 

92 

93 

93.4554 

8884 

145.3713 

2402 

225.6552  6431 

540.3701  1778 

93 

94 

98.1282 

6328 

153.3667 

4684 

239.1945  8017 

578.1960  2602 

94 

95 

103.0346 

7645 

161.8019 

1791 

253.5462  5498  [ 

618.6697  4784 

95 

96 

108.1864 

1027 

170.7010 

2340 

268.7590  3028 

661 .9766  3019 

96 

97 

1 13.5957 

3078 

180.0895 

7969 

284.8845  7209 

708.3149  9430 

97 

98 

1 19.2755 

1732 

189.9945 

0657 

301.9776  4642 

757.8970  4390 

98 

99 

125.2392 

9319 

200.4442 

0443 

320.0963  0520 

810.9498  3698 

99 

100 

131.5012 

5785 

21  1.4686 

3567 

339.3020  8351 

867.7163  2557 

100 

15 


Present  Value  of  1  at  Conipound  Interest 


TABLE  II. 


v"=(i+iy 


n 

1% 

ih' 

'b 

1  Vfy 

^^  /o 

1%% 

n 

1 

0.9900 

9901 

0.9876 

5432 

0.9852  2167 

0.9828 

0098 

1 

2 

0.9802 

9605 

0.9754 

6106 

0.9706  6175 

0.9658 

9777 

2 

3 

0.9705 

9015 

0.9634 

1833 

0.9563  1699 

0.9492 

8528 

3 

4 

0.9609 

8034 

0.9515 

2428 

0.9421  8423 

0.9329 

5851 

4 

5 

0.9514 

6569 

0.9397 

7706 

0.9282  6033 

0.9169 

1254 

5 

6 

0.9420 

4524 

0.9281 

7488 

0.9145  4219 

0.9011 

4254 

6 

7 

0.9327 

1805 

0.9167 

1593 

0.9010  2679 

0.8856 

4378 

7 

8 

0.9234 

8322 

0.9053 

9845 

0.8877  1 1 12 

0.8704 

1  157 

8 

9 

0.9143 

3982 

0.8942 

2069 

0.8745  9224 

0.8554 

4135 

9 

10 

0.9052 

8695 

0.8831 

8093 

0.8616  6723 

0.8407 

2860 

10 

11 

0.8963 

2372 

0.8722 

7746 

0.8489  3323 

0.8262 

6889 

11 

12 

0.8874 

4923 

0.8615 

0860 

0.8363  8742 

0.8120 

5788 

12 

13 

0.8786 

6260 

0.8508 

7269 

0.8240  2702 

0.7980 

9128 

13 

14 

0.8699 

6297 

0.8403 

6809 

0.81 18  4928 

0.7843 

6490 

14 

15 

0.8613 

4947 

0.8299 

9318 

0.7998  5150 

0.7708 

7459 

15 

16 

0.8528 

2126 

0.8197 

4635 

0.7880  3104 

0.7576 

1631 

16 

17 

0.8443 

7749 

0.8096 

2602 

0.7763  8526 

0.7445 

8605 

17 

18 

0.8360 

1731 

0.7996 

3064 

0.7649  1  159 

0.7317 

7990 

18 

19 

0.8277 

3992 

0.7897 

5866 

0.7536  0747 

0.7191 

9401 

19 

20 

0.8195 

4447 

0.7800 

0855 

0.7424  7042 

0.7068 

2458 

20 

21 

0.81  14 

3017 

0.7703 

7881 

0.7314  9795 

0.6946 

6789 

21 

22 

0.8033 

9621 

0.7608 

6796 

0.7206  8763 

0.6827 

2028 

22 

23 

0.7954 

4179 

0.7514 

7453 

0.7100  3708 

0.6709 

7817 

23 

24 

0.7875 

6613 

0.7421 

9707 

0.6995  4392 

0.6594 

3800 

24 

25 

0.7797 

6844 

0.7330 

3414 

0.6892  0583 

0.6480 

9632 

25 

26 

0.7720 

4796 

0.7239 

8434 

0.6790  2052 

0.6369 

4970 

26 

27 

0.7644 

0392 

0.7150 

4626 

0.6689  8574 

0.6259 

9479 

27 

28 

0.7568 

3557 

0.7062 

1853 

0.6590  9925 

0.6152 

2829 

28 

29 

0.7493 

4215 

0.6974 

9978 

0.6493  5887 

0.6046 

4697 

29 

30 

0.7419 

2292 

0.6888 

8867 

0.6397  6243 

0.5942 

4764 

30 

31 

0.7345 

7715 

0.6803 

8387 

0.6303  0781 

0.5840 

2716 

31 

32 

0.7273 

0411 

0.6719 

8407 

0.6209  9292 

0.5739 

8247 

32 

33 

0.7201 

0307 

0.6636 

8797 

0.61 18  1568 

0.5641 

1053 

33 

34 

0.7129 

7334 

0.6554 

9429 

0.6027  7407 

0.5544 

0839 

34 

35 

0.7059 

1420 

0.6474 

0177 

0.5938  6608 

0.5448 

7311 

35 

36 

0.6989 

2495 

0.6394 

0916 

0.5850  8974 

0.5355 

0183 

36 

37 

0.6920 

0490 

0.6315 

1522 

0.5764  4309 

0.5262 

9172 

37 

38 

0.6851 

5337 

0.6237 

1873 

0.5679  2423 

0.5172 

4002 

38 

39 

0.6783 

6967 

0.6160 

1850 

0.5595  3126 

0.5083 

4400 

39 

40 

0.6716 

5314 

0.6084 

1334 

0.5512  6232 

0.4996 

0098 

40 

41 

0.6650 

0311 

0.6009 

0206 

0.5431  1559 

0.4910 

0834 

41 

42 

0.6584 

1892 

0.5934 

8352 

0.5350  8925 

0.4825 

6348 

42 

43 

0.6518 

9992 

0.5861 

5656 

0.5271  8153 

0.4742 

6386 

43 

44 

0.6454 

4546 

0.5789 

2006 

0.5193  9067 

0.4661 

0699 

44 

45 

0.6390 

5492 

0.5717 

7290 

0.5117  1494 

0.4580 

9040 

45 

46 

0.6327 

2764 

0.5647 

1397 

0.5041  5265 

0.4502 

1170 

46 

47 

0.6264 

6301 

0.5577 

4219 

0.4967  0212 

0.4424 

6850 

47 

48 

0.6202 

6041 

0.5508 

5649 

0.4893  6170 

0.4348 

5848 

48 

49 

'   0.6141 

1921 

0.5440 

5579 

0.4821  2975 

0.4273 

7934 

49 

50 

0.6080 

3882 

0.5373 

3905 

0.4750  0468 

0.4200 

2883 

50 

16 


Present  Value  of  1  at  Compound  Interest 


TABLE  II. 


V 


(i+iy 


n 

1% 

ih' 

7c 

IH' 

7o 

1%% 

n 

51 

0.6020 

1864 

0.5307 

0524 

0.4679 

8491 

0.4128 

0475 

51 

52 

0.5960 

5806 

0.5241 

5332 

0.4610 

6887 

0.4057 

0492 

52 

53 

0.5901 

5649 

0.5176 

8229 

0.4542 

5505 

0.3987 

2719 

53 

54 

0.5843 

1336 

0.5112 

9115 

0.4475 

4192 

0.3918 

6947 

54 

55 

0.5785 

2808 

0.5049 

7892 

0.4409 

2800 

0.3851 

2970 

55 

56 

0.5728 

0008 

0.4987 

4461 

0.4344 

1182 

0.3785 

0585 

56 

57 

0.5671 

2879 

0.4925 

8727 

0.4279 

9194 

0.3719 

9592 

57 

58 

0.5615 

1365 

0.4865 

0594 

0.4216 

6694 

0.3655 

9796 

58 

59 

0.5559 

541  1 

0.4804 

9970 

0.4154 

3541 

0.3593 

1003 

59 

60 

0.5504 

4962 

0.4745 

6760 

0.4092 

9597 

0.3531 

3025 

60 

61 

0.5449 

9962 

0.4687 

0874 

0.4032 

4726 

0.3470 

5676 

61 

62 

0.5396 

0358 

0.4629 

2222 

0.3972 

8794 

0.3410 

8772 

62 

63 

0.5342 

6097 

0.4572 

0713 

0.3914 

1669 

0.3352 

2135 

63 

64 

0.5289 

7126 

0.4515 

6259 

0.3856 

3221 

0.3294 

5587 

64 

65 

0.5237 

3392 

0.4459 

8775 

0.3799 

3321 

0.3237 

8956 

65 

66 

0.5185 

4844 

0.4404 

8173 

0.3743 

1843 

0.3182 

2069 

66 

67 

0.5134 

1429 

0.4350 

4368 

0.3687 

8663 

0.3127 

4761 

67 

68 

0.5083 

3099 

0.4296 

7277 

0.3633 

3658 

0.3073 

6866 

68 

69 

0.5032 

9801 

0.4243 

6817 

0.3579 

6708 

0.3020 

8222 

69 

70 

0.4983 

1486 

0.4191 

2905 

0.3526 

7692 

0.2968 

8670 

70 

71 

0.4933 

8105 

0.4139 

5462 

0.3474 

6495 

0.2917 

8054 

71 

72 

0.4884 

9609 

0.4088 

4407 

0.3423 

3000 

0.2867 

6221 

72 

73 

0.4836 

5949 

0.4037 

9661 

0.3372 

7093 

0.2818 

3018 

73 

74 

0.4788 

7078 

0.3988 

1  147 

0.3322 

8663 

0.2769 

8298 

74 

75 

0.4741 

2949 

0.3938 

8787 

0.3273 

7599 

0.2722 

1914 

75 

>6 

0.4694 

3514 

0.3890 

2506 

0.3225 

3793 

0.2675 

3724 

76 

77 

0.4647 

8726 

0.3842 

2228 

0.3177 

7136 

0.2629 

3586 

77 

78 

0.4601 

8541 

0.3794 

7879 

0.3130 

7523 

0.2584 

1362 

78 

79 

0.4556 

2912 

0.3747 

9387 

0.3084 

4850 

0.2539 

6916 

79 

80 

0.451  1 

1794 

0.3701 

6679 

0.3038 

9015 

0.2496 

0114 

80 

81 

0.4466 

5142 

0.3655 

9683 

0.2993 

9916 

0.2453 

0825 

81 

82 

0.4422 

2913 

0.3610 

8329 

0.2949 

7454 

0.2410 

8919 

82 

83 

0.4378 

5063 

0.3566 

2547 

0.2906 

1531 

0.2369 

4269 

83 

84 

0.4335 

1547 

0.3522 

2268 

0.2863 

2050 

0.2328 

6751 

84 

85 

0.4292 

2324 

0.3478 

7426 

0.2820 

8917 

0.2288 

6242 

85 

86 

0.4249 

7350 

0.3435 

7951 

0.2779 

2036 

0.2249 

2621 

86 

87 

0.4207 

6585 

0.3393 

3779 

0.2738 

1316 

0.2210 

5770 

87 

88 

0.4165 

9985 

0.3351 

4843 

0.2697 

6666 

0.2172 

5572 

88 

89 

0.4124 

7510 

0.3310 

1080 

0.2657 

7997 

0.2135 

1914 

89 

90 

0.4083 

91  19 

0.3269 

2425 

0.2618 

5218 

0.2098 

4682 

90 

91 

0.4043 

4771 

0.3228 

8814 

0.2579 

8245 

0.2062 

3766 

91 

92 

0.4003 

4427 

0.3189 

0187 

0.2541 

6990 

0.2026 

9057 

92 

93 

0.3963 

8046 

0.3149 

6481 

0.2504 

1369 

0.1992 

0450 

93 

94 

0.3924 

5590 

0.3110 

7636 

0.2467 

1300 

0.1957 

7837 

94 

95 

0.3885 

7020 

0.3072 

3591 

0.2430 

6699 

0.1924 

1118 

95 

96 

0.3847 

2297 

0.3034 

4287 

0.2394 

7487 

0.1891 

0190 

96 

97 

0.3809 

1383 

0.2996 

9666 

0.2359 

3583 

0.1858 

4953 

97 

98 

0.3771 

4241 

0.2959 

9670 

0.2324 

4909 

0.1826 

5310 

98 

99 

0.3734 

0832 

0.2923 

4242 

0.2290 

1389 

0.1795 

1165 

99 

100 

0.3697 

1  121 

0.2887 

3326 

0.2256 

2944 

0.1764 

2422 

100 

17 


Present  Value  of  1  at  Compound  Interest 


TABLE  II. 


v"={i-\-iy 


n 

2'. 

c 

2h' 

t 

9 1  ' 

c 

2%^c 

n 

1 

0.9803 

9216 

0.9779 

9511 

0.9756 

0976 

0.9732  3601 

1 

2 

0.9611 

6878 

0.9564 

7444 

0.9518 

1440 

0.9471  8833 

2 

3 

0.9423 

2233 

0.9354 

2732 

0.9285 

9941 

0.9218  3779 

3 

4 

0.9238 

4543 

0.9148 

4335 

0.9059 

5064 

0.8971  6573 

4 

5 

0.9057 

3081 

0.8947 

1232 

0.8838 

5429 

0.8731  5400 

5 

6 

0.8879 

7138 

0.8750 

2427 

0.8622 

9687 

0.8497  8491 

6 

7 

0.8705 

6018 

0.8557 

6946 

0.8412 

6524 

0.8270  4128 

7 

8 

0.8534 

9037 

0.8369 

3835 

0.8207 

4657 

0.8049  0635 

8 

9 

0.8367 

5527 

0.8185 

2161 

0.8007 

2836 

0.7833  6385 

9 

10 

0.8203 

4830 

0.8005 

1013 

0.781  1 

9840 

0.7623  9791 

10 

11 

0.8042 

6304 

0.7828 

9499 

0.7621 

4478 

0.7419  9310 

11 

12 

0.7884 

9318 

0.7656 

6748 

0.7435 

5589 

0.7221  3440 

12 

13 

0.7730 

3253 

0.7488 

1905 

0.7254 

2038 

0.7028  0720 

13 

14 

0.7578 

7502 

0.7323 

4137 

0.7077 

2720 

0.6839  9728 

14 

15 

0.7430 

1473 

0.7162 

2628 

0.6904 

6556 

0.6656  9078 

15 

16 

0.7284 

4581 

0.7004 

6580 

0.6736 

2493 

0.6478  7424 

16 

17 

0.7141 

6256 

0.6850 

5212 

0.6571 

9506 

0.6305  3454 

17 

18 

0.7001 

5937 

0.6699 

7763 

0.641  1 

6591 

0.6136  5892 

18 

19 

0.6864 

3076 

0.6552 

3484 

0.6255 

2772 

0.5972  3496 

19 

20 

0.6729 

7133 

0.6408 

1647 

0.6102 

7094 

0.5812  5057 

20 

21 

0.6597 

7582 

0.6267 

1538 

0.5953 

8629 

0.5656  9398 

21 

22 

0.6468 

3904 

0.6129 

2457 

0.5808 

6467 

0.5505  5375 

22 

23 

0.6341 

5592 

0.5994 

3724 

0.5666 

9724 

0.5358  1874 

23 

24 

0.6217 

2149 

0.5862 

4668 

0.5528 

7535 

0.5214  7809 

24 

25 

0.6095 

3087 

0.5733 

4639 

0.5393 

9059 

0.5075  2126 

25 

26 

0.5975 

7928 

0.5607 

2997 

0.5262 

3472 

0.4939  3796 

26 

27 

0.5858 

6204 

0.5483 

91  17 

0.5133 

9973 

0.4807  1821 

27 

28 

0.5743 

7455 

0.5363 

2388 

0.5008 

7778 

0.4678  5227 

28 

29 

0.5631 

1231 

0.5245 

2213 

0.4886 

6125 

0.4553  3068 

29 

30 

0.5520 

7089 

0.5129 

8008 

0.4767 

4269 

0.4431  4421 

30 

31 

0.5412 

4597 

0.5016 

9201 

0.4651 

1481 

0.4312  8391 

31 

32 

0.5306 

3330 

0.4906 

5233 

0.4537 

7055 

0.4197  4103 

32 

33 

0.5202 

2873 

0.4798 

5558 

0.4427 

0298 

0.4085  0708 

33 

34 

0.5100 

2817 

0.4692 

9641 

0.4319 

0534 

0.3975  7380 

34 

35 

0.5000 

2761 

0.4589 

6960 

0.4213 

7107 

0.3869  3314 

35 

36 

0.4902 

2315 

0.4488 

7002 

0.4110 

9372 

0.3765  7727 

36 

37 

0.4806 

1093 

0.4389 

9268 

0.4010 

6705 

0.3664  9856 

37 

38 

0.4711 

8719 

0.4293 

3270 

0.3912 

8492 

0.3566  8959 

38 

39 

0.4619 

4822 

0.4198 

8528 

0.3817 

4139 

0.3471  4316 

39 

40 

0.4528 

9042 

0.4106 

4575 

0.3724 

3062 

0.3378  5222 

40 

41 

0.4440 

1021 

0.4016 

0954 

0.3633 

4695 

0.3288  0995 

41 

42 

0.4353 

0413 

0.3927 

7216 

0.3544 

8483 

0.3200  0968 

42 

43 

0.4267 

6875 

0.3841 

2925 

0.3458 

3886 

0.31 14  4495 

43 

44 

0.4184 

0074 

0.3756 

7653 

0.3374 

0376 

0.3031  0944 

44 

45 

0.4101 

9680 

0.3674 

0981 

0.3291 

7440 

0.2949  9702 

45 

46 

0.4021 

5373 

0.3593 

2500 

0.3211 

4576 

0.2871  0172 

46 

47 

0.3942 

6836 

0.3514 

1809 

0.3133 

1294 

0.2794  1773 

47 

48 

0.3865 

3761 

0.3436 

8518 

0.3056 

7116 

0.2719  3940 

48 

49 

0.3789 

5844 

0.3361 

2242 

0.2982 

1576 

0.2646  6122 

49 

50 

0.3715 

2788 

0.3287 

2608 

0.2909 

4221 

0.2575  7783 

50 

18 


Present  Value  of  1  at  Compound  Interest 


TABLE  II. 

i;"=(l+i)-" 

n 

2% 

2h% 

2h% 

2%^o 

n 

51 

0.3642  4302 

0.3214  9250 

0.2838  4606 

0.2506  8402 

51 

52 

0.3571  0100 

0.3144  1810 

0.2769  2298 

0.2439  7471 

52 

53 

0.3500  9902 

0.3074  9936 

0.2701  6876 

0.2374  4497 

53 

54 

0.3432  3433 

0.3007  3287 

0.2635  7928 

0.2310  9000 

54 

55 

0.3365  0425 

0.2941  1528 

0.2571  5052 

0.2249  0511 

55 

56 

0.3299  0613 

0.2876  4330 

0.2508  7855 

0.2188  8575 

56 

57 

0.3234  3738 

0.2813  1374 

0.2447  5956 

0.2130  2749 

57 

58 

0.3170  9547 

0.2751  2347 

0.2387  8982 

0.2073  2603 

58 

59 

0.3108  7791 

0.2690  6940 

0.2329  6568 

0.2017  7716 

59 

60 

0.3047  8227 

0.2631  4856 

0.2272  8359 

0.1963  7679 

60 

61 

0.2988  0614 

0.2573  5801 

0.2217  4009 

0.1911  2097 

61 

62 

0.2929  4720 

0.2516  9487 

0.2163  3179 

0.1860  0581 

62 

63 

0.2872  0314 

0.2461  5635 

0.2110  5541 

0.1810  2755 

63 

64 

0.2815  7170 

0.2407  3971 

0.2059  0771 

0.1761  8253 

64 

65 

0.2760  5069 

0.2354  4226 

0.2008  8557 

0.1714.  6718 

65 

66 

0.2706  3793 

0.2302  6138 

0.1959  8593 

0.1668  7804 

66 

67 

0.2653  3130 

0.2251  9450 

0.1912  0578 

0.1624  1172 

67 

68 

0.2601  2873 

0.2202  3912 

0.1865  4223 

0.1580  6493 

68 

69 

0.2550  2817 

0.2153  9278 

0.1819  9241 

0.1538  3448 

69 

70 

0.2500  2761 

0.2106  5309 

0.1775  5358 

0.1497  1726 

70 

71 

0.2451  2511 

0.2060  1769 

0.1732  2300 

0.1457  1023 

71 

72 

0.2403  1874 

0.2014  8429 

0.1689  9805 

0.1418  1044 

72 

73 

0.2356  0661 

0.1970  5065 

0.1648  7615 

0.1380  1503 

73 

74 

0.2309  8687 

0.1927  1458 

0.1608  5478 

0.1343  2119 

74 

75 

0.2264  5771 

0.1884  7391 

0.1569  3148- 

0.1307  2622 

75 

76 

0.2220  1737 

0.1843  2657 

0.1531  0389 

0.1272  2747 

76 

77 

0.2176  6408 

0.1802  7048 

0.1493  6965 

0.1238  2235 

77 

78 

0.2133  9616 

0.1763  0365 

0.1457  2649 

0.1205  0837 

78 

79 

0.2092  1 192 

0.1724  2411 

0.1421  7218 

0.1172  8309 

79 

80 

0.2051  0973 

0.1686  2993 

0.1387  0457 

0.1141  4412 

80 

81 

0.2010  8797 

0.1649  1925 

0.1353  2153 

0.1110  8917 

81 

82 

0.1971  4507 

0.1612  9022 

0.1320  2101 

0.1081  1598 

82 

83 

0.1932  7948 

0.1577  4105 

0.1288  0098 

0.1052  2237 

83 

84 

0.1894  8968 

0.1542  6997 

0.1256  5949 

0.1024  0620 

84 

85 

0.1857  7420 

0.1508  7528 

0.1225  9463 

0.0996  6540 

85 

86 

0.1821  3157 

0.1475  5528 

0.1196  0452 

0.0969  9795 

86 

87 

0.1785  6036 

0.1443  0835 

0.1166  8733 

0.0944  0190 

87 

88 

0.1750  5918 

0.1411  3286 

0.1 138  4130 

0.0918  7533 

88 

89 

0.1716  2665 

0.1380  2724 

0.1110  6468 

0.0894  1638 

89 

90 

0.1682  6142 

0.1349  8997 

0.1083  5579 

0.0870  2324 

90 

91 

0.1649  6217 

0.1320  1953 

0.1057  1296 

0.0846  9415 

91 

92 

0.1617  2762 

0.1291  1445 

0.1031  3460 

0.0824  2740 

92 

93 

0.1585  5649 

0.1262  7331 

0.1006  1912 

0.0802  2131 

93 

94 

0.1554  4754 

0.1234  9468 

0.0981  6500 

0.0780  7427 

94 

95 

0.1523  9955 

0.1207  7719 

0.0957  7073 

0.0759  8469 

95 

96 

0.1494  1132 

0.1181  1950 

0.0934  3486 

0.0739  5104 

96 

97 

0.1464  8169 

0.1155  2029 

'        0.0911  5596 

0.0719  7181 

97 

98 

0.1436  0950 

0.1129  7828 

0.0889  3264 

0.0700  4556 

1   98 

99 

'   0.1407  9363 

0.1104  9221 

0.0867  6355 

0.0681  7086 

99 

100 

0.1380  3297 

0.1080  6084 

0.0846  4737 

0.0663  4634 

100 

19 


Present  -Value  of  1  at  Compound  Interest 


TABLE  II. 


v"={i+iy 


n 

3h' 

/c 

i9 

; 

^h7c 

n 

1 

0.9708 

7379 

0.9661 

8357 

0.9615 

3846 

0.9569  3780 

1 

2 

0.9425 

9591 

0.9335 

1070 

0.9245 

5621 

0.9157  2995 

2 

3 

0.9151 

4166 

0.9019 

4271 

0.8889 

9636 

0.8762  9660 

3 

4 

0.8884 

8705 

0.8714 

4223 

0.8548 

0419 

0.8385  6134 

4 

5 

0.8626 

0878 

0.8419 

7317 

0.8219 

2711 

0.8024  5105 

5 

6 

0.8374 

8426 

0.8135 

0064 

0.7903 

1453 

0.7678  9574 

6 

7 

0.8130 

9151 

0.7859 

9096 

0.7599 

1781 

0.7348  2846 

7 

8 

0.7894 

0923 

0.7594 

1  156 

0.7306 

9021 

0.7031  8513 

8 

9 

0.7664 

1673. 

0.7337 

3097 

0.7025 

8674 

0.6729  0443 

9 

10 

0.7440 

9391 

0.7089 

1881 

0.6755 

6417 

0.6439  2768 

10 

11 

0.7224 

2128 

0.6849 

4571 

0.6495 

8093 

0.6161  9874 

11 

12 

0.7013 

7988 

0.6617 

8330 

0.6245 

9705 

0.5896  6386 

12 

13 

0.6809 

5134 

0.6394 

0415 

0.6005 

7409 

0.5642  7164 

13 

14 

0.6611 

1781 

0.6177 

8179 

0.5774 

7508 

0.5399  7286 

14 

15 

0.6418 

6195 

0.5968 

9062 

0.5552 

6450 

0.5167  2044 

15 

16 

0.6231 

6694 

0.5767 

0591 

0.5339 

0818 

0.4944  6932 

16 

17 

0.6050 

1645 

0.5572 

0378 

0.5133 

7325 

0.4731  7639 

17 

18 

0.5873 

9461 

0.5383 

6114 

0.4936 

2812 

0.4528  0037 

18 

19 

0.5702 

8603 

0.5201 

5569 

0.4746 

4242 

0.4333  0179 

19 

20 

0.5536 

7575 

0.5025 

6588 

0.4563 

8695 

0.4146  4286 

20 

21 

0.5375 

4928 

0.4855 

7090 

0.4388 

3360 

0.3967  8743 

21 

22 

0.5218 

9250 

0.4691 

5063 

0.4219 

5539 

0.3797  0089 

22 

23 

0.5066 

9175 

0.4532 

8563 

0.4057 

2633 

0.3633  5013 

23 

24 

0.4919 

3374 

0.4379 

5713 

0.3901 

2147 

0.3477  0347 

24 

25 

0.4776 

0557 

0.4231 

4699 

0.3751 

1680 

0.3327  3060 

25 

26 

0.4636 

9473 

0.4088 

3767 

0.3606 

8923 

0.3184  0248 

26 

27 

0.4501 

8906 

0.3950 

1224 

0.3468 

1657 

0.3046  9137 

27 

28 

0.4370 

7675 

0.3816 

5434 

0.3334 

7747 

0.2915  7069 

28 

29 

0.4243 

4636 

0.3687 

4815 

0.3206 

5141 

0.2790  1502 

29 

30 

0.4119 

8676 

0.3562 

7841 

0.3083 

1867 

0.2670  0002 

30 

31 

0.3999 

8715 

0.3442 

3035 

0.2964 

6026 

0.2555  0241 

31 

32 

0.3883 

3703 

0.3325 

8971 

0.2850 

5794 

0.2444  9991 

32 

33 

0.3770 

2625 

0.3213 

4271 

0.2740 

9417 

0.2339  7121 

33 

34 

0.3660 

4490 

0.3104 

7605 

0.2635 

5209 

0.2238  9589 

34 

35 

0.3553 

8340 

0.2999 

7686 

0.2534 

1547 

0.2142  5444 

35 

36 

0.3450 

3243 

0.2898 

3272 

0.2436 

6872 

0.2050  2817 

36 

37 

0.3349 

8294 

0.2800 

3161 

0.2342 

9685 

0.1961  9921 

37 

38 

0.3252 

2615 

0.2705 

6194 

0.2252 

8543 

0.1877  5044 

38 

39 

0.3157 

5355 

0.2614 

1250 

0.2166 

2061 

0.1796  6549 

39 

40 

0.3065 

5684 

0.2525 

7247 

0.2082 

8904 

0.1719  2870 

40 

41 

0.2976 

2800 

0.2440 

3137 

0.2002 

7793 

0.1645  2507 

41 

42 

0.2889 

5922 

0.2357 

7910 

0.1925 

7493 

0.1574  4026 

42 

43 

0.2805 

4294 

0.2278 

0590 

0.1851 

6820 

0.1506  6054 

43 

44 

0.2723 

7178 

0.2201 

0231 

0.1780 

4635 

0.1441  7276 

44 

45 

0.2644 

3862 

0.2126 

5924 

0.171  1 

9841 

0.1379  6437 

45 

46 

0.2567 

3653 

0.2054 

6787 

0.1646 

1386 

0.1320  2332 

46 

47 

0.2492 

5876 

0.1985 

1968 

0.1582 

8256 

0.1263  3810 

47 

48 

0.2419 

9880 

0.1918 

0645 

0.1521 

9476 

0.1208  9771 

48 

49 

0.2349 

5029 

0.1853 

2024 

0.1463 

4112 

0.1156  9158 

49 

50 

0.2281 

0708 

0.1790 

5337 

0.1407 

1262 

0.1107  0965 

50 

20 


Present  Value  of  1  at  Compound  Interest 


TABLE  II. 


v^={i-\-iy 


n 

3% 

3^% 

4% 

4>^% 

n 

51 

0.2214 

6318 

0.1729 

9843 

0.1353 

0059 

0.1059 

4225 

51 

52 

0.2150 

1280 

0.1671 

4824 

0.1300 

9672 

0.1013 

8014 

52 

53 

0.2087 

5029 

0.1614 

9589 

0.1250 

9300 

0.0970 

1449 

53 

54 

0.2026 

7019 

0.1560 

3467 

0.1202 

8173 

0.0928 

3683 

54 

55 

0.1967 

6717 

0.1507 

5814 

0.1156 

5551 

0.0888 

3907 

55 

56 

0.1910 

3609 

0.1456 

6004 

0.1112 

0722 

0.0850 

1347 

56 

57 

0.1854 

7193 

0.1407 

3433 

0.1069 

3002 

0.0813 

5260 

57 

58 

0.1800 

6984 

0.1359 

7520 

0.1028 

1733 

0.0778 

4938 

58 

59 

0.1748 

2508 

0.1313 

7701 

0.0988 

6282 

0.0744 

9701 

59 

60 

0.1697 

3309 

0.1269 

3431 

0.0950 

6040 

0.0712 

8901 

60 

61 

0.1647 

8941 

0.1226 

4184 

0.0914 

0423 

0.0682 

1915 

61 

62 

0.1599 

8972 

0.1  184 

9453 

0.0878 

8868 

0.0652 

8148 

62 

63 

0.1553 

2982 

0.1  144 

8747 

0.0845 

0835 

0.0624 

7032 

63 

64 

0.1508 

0565 

0.1106 

1591 

0.0812 

5803 

0.0597 

8021 

64 

65 

0.1464 

1325 

0.1068 

7528 

0.0781 

3272 

0.0572 

0594 

65 

66 

0.1421 

4879 

0.1032 

6114 

0.0751 

2762 

0.0547 

4253 

66 

67 

0.1380 

0853 

0.0997 

6922 

0.0722 

3809 

0.0523 

8519 

67 

68 

0.1339 

8887 

0.0963 

9538 

0.0694 

5970 

0.0501 

2937 

68 

69 

0.1300 

8628 

0.0931 

3563 

0.0667 

8818 

0.0479 

7069 

69 

70 

0.1262 

9736 

0.0899 

8612 

0.0642 

1940 

0.0459 

0497 

70 

71 

0.1226 

1880 

0.0869 

4311 

0.0617 

4942 

0.0439 

2820 

71 

72 

0.1190 

4737 

0.0840 

0300 

0.0593 

7445 

0.0420 

3655 

72 

73 

0.1155 

7998 

0.0811 

6232 

0.0570 

9081 

0.0402 

2637 

73 

74 

0.1122 

1357 

0.0784 

1770 

0.0548 

9501 

0.0384 

9413 

74 

75 

0.1089 

4521 

0.0757 

6590 

0.0527 

8367 

0.0368 

3649 

75 

76 

0  1057 

7205 

0.0732 

0376 

0.0507 

5353 

0.0352 

5023 

76 

77 

0.1026 

9131 

0.0707 

2827 

0.0488 

0147 

0.0337 

3228 

77 

78 

0.0997 

0030 

0.0683 

3650 

0.0469 

2449 

0.0322 

7969 

78 

79 

0.0967 

9641 

0.0660 

2560 

0.0451 

1970 

0.0308 

8965 

79 

80 

0.0939 

7710 

0.0637 

9285 

0.0433 

8433 

0.0295 

5948 

80 

81 

0.0912 

3990 

0.0616 

3561 

0.0417 

1570 

0.0282 

8658 

81 

82 

0.0885 

8243 

0.0595 

5131 

0.0401 

1125 

0.0270 

6850 

82 

83 

0.0860 

0236 

0.0575 

3750 

0.0385 

6851 

0.0259 

0287 

83 

84 

0.0834 

9743 

0.0555 

9178 

0.0370 

8510 

0.0247 

8744 

84 

85 

0.0810 

6547 

0.0537 

1187 

0.0356 

5875 

0.0237 

2003 

85 

86 

0.0787 

0434 

0.0518 

9553 

0.0342 

8726 

0.0226 

9860 

86 

87 

0.0764 

1198 

0.0501 

4060 

0.0329 

6852 

0.0217 

2115 

87 

88 

0.0741 

8639 

0.0484 

4503 

0.0317 

0050 

0.0207 

8579 

88 

89 

0.0720 

2562 

0.0468 

0679 

0.0304 

8125 

0.0198 

9070 

89 

90 

0.0699 

2779 

0.0452 

2395 

0.0293 

0890 

0.0190 

3417 

90 

91 

0.0678 

9105 

0.0436 

9464 

0.0281 

8163 

0.0182 

1451 

91 

92 

0.0659 

1364 

0.0422 

1704 

0.0270 

9772 

0.0174 

3016 

92 

93 

0.0639 

9383 

0.0407 

8941 

0.0260 

5550 

0.0166 

7958 

93 

94 

0.0621 

2993 

0.0394 

1006 

0.0250 

5337 

0.0159 

6132 

94 

95 

0.0603 

2032 

0.0380 

7735 

0.0240 

8978 

0.0152 

7399 

95 

96 

0.0585 

6342 

0.0367 

8971 

0.0231 

6325 

0.0146 

1626 

96 

97 

0.0568 

5769 

0.0355 

4562 

0.0222 

7235 

0.0139 

8685 

97 

98 

0.0552 

0164 

0.0343 

4359 

0.0214 

1572 

0.0133 

8454 

98 

99 

0.0535 

9383 

0.0331 

8221 

0.0205 

9204 

0.0128 

0817 

99 

100 

0.0520 

3284 

0.0320 

6011 

0.0198 

0004 

0.0122 

5663 

100 

21 


Present  Value  of  1  at  Compound  Interest 


TABLE  II. 


V 


(1  +  i)-" 


n 

5% 

5h% 

6% 

TSc 

n 

1 

0.9523  8095 

0.9478  6730 

0.9433  9623 

0.9345  7944 

1 

2 

0.9070  2948 

0.8984  5242 

0.8899  9644 

0.8734  3873 

2 

3 

0.8638  3760 

0.8516  1366 

0.8396  1928 

0.8162  9788 

3 

4 

0.8227  0247 

0.8072  1674 

0.7920  9366 

0.7628  9521 

4 

5 

0.7835  2617 

0.7651  3435 

0.7472  5817 

0.7129  8618 

1 

5 

6 

0.7462  1540 

0.7252  4583 

0.7049  6054 

0.6663  4222 

6 

7 

0.7106  8133 

0.6874  3681 

0.6650  5711 

0.6227  4974 

7 

8 

0.6768  3936 

0.6515  9887 

0.6274  1237 

0.5820  0910 

8 

9 

0.6446  0892 

0.6176  2926 

0.5918  9846 

0.5439  3374 

9 

10 

0.6139  1325 

0.5854  3058 

0.5583  9478 

0.5083  4929 

10 

11 

0.5846  7929 

0.5549  1050 

0.5267  8753 

0.4750  9280 

11 

12 

0.5568  3742 

0.5259  8152 

0.4969  6936 

0.4440  1  196 

12 

13 

0.5303  2135 

0.4985  6068 

0.4688  3902 

0.4149  6445 

13 

14 

0.5050  6795 

0.4725  6937 

0.4423  0096 

0.3878  1724 

14 

15 

0.4810  1710 

0.4479  3305 

0.4172  6506 

0.3624  4602 

15 

16 

0.4581  1152 

0.4245  8109 

0.3936  4628 

0.3387  3460 

16 

17 

0.4362  9669 

0.4024  4653 

0.3713  6442 

0.3165  7439 

17 

18 

0.4155  2065 

0.3814  6590 

0.3503  4379 

0.2958  6392 

18 

19 

0.3957  3396 

0.3615  7906 

0.3305  1301 

0.2765  0832 

19 

20 

0.3768  8948 

0.3427  2896 

0.3118  0473 

0.2584  1900 

20 

21 

0.3589  4236 

0.3248  6158 

0.2941  5540 

0.2415  1309 

21 

22 

0.3418  4987 

0.3079  2567 

0.2775  0510 

0.2257  1317 

22 

23 

0.3255  7131 

0.2918  7267 

0.2617  9726 

0.2109  4688 

23 

24 

0.3100  6791 

0.2766  5656 

0.2469  7855 

0.1971  4662 

24 

25 

0.2953  0277 

0.2622  3370 

0.2329  9863 

0.1842  4918 

25 

26 

0.2812  4073 

0.2485  6275 

0.2198  1003 

0.1721  9549 

26 

27 

0.2678  4832 

0.2356  0450 

0.2073  6795 

0.1609  3037 

27 

28 

0.2550  9364 

0.2233  2181 

0.1956  3014 

0.1504  0221 

28 

29 

0.2429  4632 

0.2116  7944 

0.1845  5674 

0.1405  6282 

29 

30 

0.2313  7745 

0.2006  4402 

0.1741  1013 

0.1313  6712 

30 

31 

0.2203  5947 

0.1901  8390 

0.1642  5484 

0.1227  7301 

31 

32 

0.2098  6617 

0.1802  6910 

0.1549  5740 

0.1147  4113 

32 

33 

0.1998  7254 

0.1708  7119 

0.1461  8622 

0.1072  3470 

33 

34 

0.1903  5480 

0.1619  6321 

0.1379  1153 

0.1002  1934 

34 

35 

0.1812  9029 

0.1535  1963 

0.1301  0522 

0.0936  6294 

35 

36 

0.1726  5741 

0.1455  1624 

0.1227  4077 

0.0875  3546 

36 

37 

0.1644  3563 

0.1379  3008 

0.1157  9318 

0.0818  0884 

37 

38 

0.1566  0536 

0.1307  3941 

0.1092  3885 

0.0764  5686 

38 

39 

0.1491  4797 

0.1239  2362 

0.1030  5552 

0.0714  5501 

39 

40 

0.1420  4568 

0.1174  6314 

0.0972  2219 

0.0667  8038 

40 

41 

0.1352  8160 

0.1113  3947 

0.0917  1905 

0.0624  1157 

41 

42 

0.1288  3962 

0.1055  3504 

0.0865  2740 

0.0583  2857 

42 

43 

0.1227  0440 

0.1000  3322 

0.0816  2962 

0.0545  1268 

43 

44 

0.1168  6133 

0.0948  1822 

0.0770  0908 

0.0509  4643 

44 

45 

0.1112  9651 

0.0898  7509 

0.0726  5007 

0.0476  1349 

45 

46 

0.1059  9668 

0.0851  8965 

0.0685  3781 

0.0444  9859 

46 

47 

0.1009  4921 

0.0807  4849 

0.0646  5831 

0.0415  8747 

47 

■ 

48 

0.0961  4211 

0.0765  3885 

0.0609  9840 

0.0388  6679 

1   48 

49 

0.0915  6391 

0.0725  4867 

0.0575  4566 

0.0363  2410 

49 

50 

0.0872  0373 

0.0687  6652 

0.0542  8836 

0.0339  4776 

50 

22 


Present  Value  of  1  at  Compound  Interest 


TABLE  II. 

i;"=(l  +  i)-" 

n 

5% 

5h7o 

6% 

7% 

n 

51 

0.0830 

5117 

0.0651 

8153 

0.0512 

1544 

0.0317 

2688 

51 

52 

0.0790 

9635 

0.0617 

8344 

0.0483 

1645 

0.0296 

5129 

52 

53 

0.0753 

2986 

0.0585 

6250 

0.0455 

8156 

0.0277 

1  148 

53 

54 

0.0717 

4272 

0.0555 

0948 

0.0430 

0147 

0.0258 

9858 

54 

55 

0.0683 

2640 

0.0526 

1562 

0.0405 

6742 

0.0242 

0428 

55 

56 

0.0650 

7276 

0.0498 

7263 

0.0382 

7115 

0.0226 

2083 

56 

57 

0.0619 

7406 

0.0472 

7263 

0.0361 

0486 

0.0211 

4096 

57 

58 

0.0590 

2291 

0.0448 

0818 

0.0340 

61  19 

0.0197 

5791 

58 

59 

0.0562 

1230 

0.0424 

7221 

0.0321 

3320 

0.0184 

6533 

59 

60 

0.0535 

3552 

0.0402 

5802 

0.0303 

1434 

0.0172 

5732 

60 

61 

0.0509 

8621 

0.0381 

5926 

0.0285 

9843 

0.0161 

2834 

61 

62 

0.0485 

5830 

0.0361 

6992 

0.0269 

7965 

0.0150 

7321 

62 

63 

0.0462 

4600 

0.0342 

8428 

0.0254 

5250 

0.0140 

8711 

63 

64 

0.0440 

4381 

0.0324 

9695 

0.0240 

1  179 

0.0131 

6553 

64 

65 

0.0419 

4648 

0.0308 

0279 

0.0226 

5264 

0.0123 

0423 

65 

66 

0.0399 

4903 

0.0291 

9696 

0.0213 

7041 

0.0114 

9928 

66 

67 

0.0380 

4670 

0.0276 

7485 

0.0201 

6077 

0.0107 

4699 

67 

68 

0.0362 

3495 

0.0262 

3208 

0.0190 

1959 

0.0100 

4392 

68 

69 

0.0345 

0948 

0.0248 

6453 

0.0179 

4301 

0.0093 

8684 

69 

70 

0.0328 

6617 

0.0235 

6828 

0.0169 

2737 

0.0087 

7275 

70 

71 

0.0313 

0111 

0.0223 

3960 

0.0159 

6921 

0.0081 

9883 

71 

72 

0.0298 

1058 

0.0211 

7498 

0.0150 

6530 

0.0076 

6246 

72 

73 

0.0283 

9103 

0.0200 

7107 

0.0142 

1254 

0.0071 

61  17 

73 

74 

0.0270 

3908 

0.0190 

2471 

0.0134 

0806 

0.0066 

9269 

74 

75 

0.0257 

5150 

0.0180 

3290 

0.0126 

4911 

0.0062 

5485 

75 

76 

0.0245 

2524 

0.0170 

9279 

0.0119 

3313 

0.0058 

4565 

76 

77 

0.0233 

5737 

0.0162 

0170 

0.0112 

5767 

0.0054 

6323 

77 

78 

0.0222 

4512 

0.0153 

5706 

0.0106 

2044 

0.0051 

0582 

78 

79 

0.0211 

8582 

0.0145 

5646 

0.0100 

1928 

0.0047 

7179 

79 

80 

0.0201 

7698 

0.0137 

9759 

0.0094 

5215 

0.0044 

5962 

80 

81 

0.0192 

1617 

0.0130 

7828 

0.0089 

1713 

0.0041 

6787 

81 

82 

0.0183 

01  11 

0.0123 

9648 

0.0084 

1238 

0.0038 

9520 

82 

83 

0.0174 

2963 

0.0117 

5022 

0.0079 

3621 

0.0036 

4038 

83 

84 

0.0165 

9965 

0.0111 

3765 

0.0074 

8699 

0.0034 

0222 

84 

85 

0.0158 

0919 

0.0105 

5701 

0.0070 

6320 

0.0031 

7965 

85 

86 

0.0150 

5637 

0.0100 

0664 

0.0066 

6340 

0.0029 

7163 

86 

87 

0.0143 

3940 

0.0094 

8497 

0.0062 

8622 

0.0027 

7723 

87 

88 

0.0136 

5657 

0.0089 

9049 

0.0059 

3040 

0.0025 

9554 

88 

89 

0.0130 

0626 

0.0085 

2180 

0.0055 

9472 

0.0024 

2574 

89 

90 

0.0123 

8691 

0.0080 

7753 

0.0052 

7803 

0.0022 

6704 

90 

91 

0.0117 

9706 

0.0076 

5643 

0.0049 

7928 

0.0021 

1873 

91 

92 

0.0112 

3530 

0.0072 

5728 

0.0046 

9743 

0.0019 

8012 

92 

93 

0.0107 

0028 

0.0068 

7894 

0.0044 

3154 

0.0018 

5058 

93 

94 

0.0101 

9074 

0.0065 

2032 

0.0041 

8070 

0.0017 

2952 

94 

95 

0.0097 

0547 

0.0061 

8040 

0.0039 

4405 

0.0016 

1637 

95 

96 

0.0092 

4331 

0.0058 

5820 

0.0037 

2081 

0.0015 

1063 

96 

97 

0.0088 

0315 

0.0055 

5279 

0.0035 

1019 

0.0014 

1180 

97 

98 

0.0083 

8395 

0.0052 

6331 

0.0033 

1150 

0.0013 

1944 

98 

99 

0.0079 

8471 

0.0049 

8892 

0.0031 

2406 

0.0012 

3312 

99 

100 

0.0076 

0449 

0.0047 

2883 

0.0029 

4723 

0.0011 

5245 

100 

23 


Amount  of  1  per  Annum  at  Compound  Interest 


TABLE  III. 


Til 


[(l  +  i)"-l]/i 


n 

1% 

1  Vt" 

1^% 

1  3^t- 

n 

1 

1.0000 

0000 

,  1.0000 

0000 

1.0000 

0000 

1.0000 

0000 

1 

2 

2.0100 

0000 

2.0125 

0000 

2.0150 

0000 

2.0175 

0000 

2 

3 

3.0301 

0000 

3.0376 

5625 

3.0452 

2500 

3.0528 

0625 

3 

4 

4.0604 

0100 

4.0756 

2695 

4.0909 

0338 

4.1062 

3036 

4 

5 

5.1010 

0501 

5.1265 

7229 

5.1522 

6693 

5.1780 

8939 

5 

6 

6.1520 

1506 

6.1906 

5444 

6.2295 

5093 

6.2687 

0596 

6 

7 

7.2135 

3521 

7.2680 

3762 

7.3229 

9419 

7.3784 

0831 

7 

8 

8.2856 

7056 

8.3588 

8809 

8.4328 

3911 

8.5075 

3045 

8 

9 

9.3685 

2727 

9.4633 

7420 

9.5593 

3169 

9.6564 

1224 

9 

10 

10.4622 

1254 

10.5816 

6637 

10.7027 

2167 

10.8253 

9945 

10 

11 

11.5668 

3467 

11.7139 

3720 

11.8632 

6249 

12.0148 

4394 

1  1 

12 

12.6825 

0301 

12.8603 

6142 

13.0412 

1  143 

13.2251 

0371 

12 

13 

13.8093 

2804 

14.0211 

1594 

14.2368 

2960 

14.4565 

4303 

13 

14 

14.9474 

2132 

15.1963 

7988 

15.4503 

8205 

15.7095 

3253 

14 

15 

16.0968 

9554 

16.3863 

3463 

16.6821 

3778 

16.9844 

4935 

15 

16 

17.2578 

6449 

17.591 1 

6382 

17.9323 

6984 

18.2816 

7721 

16 

17 

18.4304 

4314 

18.8110 

5336 

19.2013 

5539 

19.6016 

0656 

17 

18 

19.6147 

4757 

20.0461 

9153 

20.4893 

7572 

20.9446 

3468 

18 

19 

20.8108 

9504 

21.2967 

6893 

21.7967 

1636 

22.3111 

6578 

19 

20 

22.0190 

0399 

22.5629 

7854 

23.1236 

6710 

23.7016 

1119 

20 

21 

23.2391 

9403 

23.8450 

1577 

24.4705 

2211 

25.1163 

8938 

21 

22 

24.4715 

8598 

25.1430 

7847 

25.8375 

7994 

26.5559 

2620 

22 

23 

25.7163 

0183 

26.4573 

6695 

27.2251 

4364 

28.0206 

5490 

23 

24 

26.9734 

6485 

27.7880 

8403 

28.6335 

2080 

29.5110 

1637 

24 

25 

28.2431 

9950 

29.1354 

3508 

30.0630 

2361 

31.0274 

5915 

25 

26 

29.5256 

3150 

30.4996 

2802 

31.5139 

6896 

32.5704 

3969 

26 

27 

30.8208 

8781 

31.8808 

7337 

32.9866 

7850 

34.1404 

2238 

27 

28 

32.1290 

9669 

33.2793 

8429 

34.4814 

7867 

35.7378 

7977 

28 

29 

33.4503 

8766 

34.6953 

7659 

35.9987 

0085 

37.3632 

9267 

29 

30 

34.7848 

9153 

36.1290 

6880 

37.5386 

8137 

39.0171 

5029 

30 

31 

36.1327 

4045 

37.5806 

8216 

39.1017 

6159 

40.6999 

5042 

31 

32 

37.4940 

6785 

39.0504 

4069 

40.6882 

8801 

42.4121 

9955 

32 

33 

38.8690 

0853 

40.5385 

7120 

42.2986 

1233 

44.1544 

1305 

33 

34 

40.2576 

9862 

42.0453 

0334 

43.9330 

9152 

45.9271 

1527 

34 

35 

41.6602 

7560 

43.5708 

6963 

45.5920 

8789 

47.7308 

3979 

35 

36 

43.0768 

7836 

45.1155 

0550 

47.2759 

6921 

49.5661 

2949 

36 

37 

44.5076 

4714 

46.6794 

4932 

48.9851 

0874 

51.4335 

3675 

37 

38 

45.9527 

2361 

48.2629 

4243 

50.7198 

8538 

53.3336 

2365 

38 

39 

47.4122 

5085 

49.8662 

2921 

52.4806 

8366 

55.2669 

6206 

39 

40 

48.8863 

7336 

51.4895 

5708 

54.2678 

9391 

57.2341 

3390 

40 

41 

50.3752 

3709 

53.1331 

7654 

56.0819 

1232 

59.2357 

3124 

41 

42 

51.8789 

8946 

54.7973 

4125 

57.9231 

4100 

61.2723 

5654 

42 

43 

53.3977 

7936 

56.4823 

0801 

59.7919 

8812 

63.3446 

2278 

43 

44 

54.9317 

5715 

58.1883 

3687 

61.6888 

6794 

65.4531 

5367 

44 

45 

56.4810 

7472 

59.9156 

9108 

63.6142 

0096 

67.5985 

8386 

45 

46 

58.0458 

8547 

61.6646 

3721 

65.5684 

1398 

69.7815 

5908 

46 

47 

59.6263 

4432 

63.4354 

4518 

67.5519 

4018 

72.0027 

3637 

47 

48 

61.2226 

0777 

65.2283 

8824 

69.5652 

1929 

74.2627 

8425 

48 

49 

62.8348 

3385 

67.0437 

4310 

71.6086 

9758 

76.5623 

8298 

49 

50 

64.4631 

8218 

68.8817 

8989 

73.6828 

2804 

78.9022 

2468 

50 

24 


Amount  of  1  per  Annum  at  Compound  Interest 

TABLE  III.  ^r  =  [(!  +  ')"- 1]  ' 


n 

I'c 

ih7c 

ih% 

1%% 

II 

51 

66.1078 

1401 

70.7428 

1226 

75.7880 

7046 

81.2830 

1361 

51 

52 

67.7688 

9215 

72.6270 

9741 

77.9248 

9152 

83.7054 

6635 

52 

53 

69.4465 

8107 

74.5349 

3613 

80.0937 

6489 

86.1703 

1201 

53 

54 

71.1410 

4688 

76.4666 

2283 

82.2951 

7136 

88.6782 

9247 

54 

55 

72.8524 

5735 

78.4224 

5562 

84.5295 

9893 

91.2301 

6259 

55 

56 

74.5809 

8192 

80.4027 

3631 

86.7975 

4292 

93.8266 

9043 

56 

57 

76.3267 

9174 

82.4077 

7052 

89.0995 

0606 

96.4686 

5752 

57 

58 

78.0900 

5966 

84.4378 

6765 

91.4359 

9865 

99.1568 

5902 

58 

59 

79.8709 

6025 

86.4933 

4099 

93.8075 

3863 

101.8921 

0405 

59 

60 

81.6696 

6986 

88.5745 

0776 

96.2146 

5171 

104.6752 

1588 

60 

61 

83.4863 

6655 

90.6816 

8910 

98.6578 

7149 

107.5070 

3215 

61 

62 

85.3212 

3022 

92.8152 

1022 

101.1377 

3956 

110.3884 

0522 

62 

63 

87.1744 

4252 

94.9754 

0034 

103.6548 

0565 

113.3202 

0231 

63 

64 

89.0461 

8695 

97.1625 

9285 

106.2096 

2774 

116.3033 

0585 

64 

65 

90.9366 

4882 

99.3771 

2526 

108.8027 

7215 

119.3386 

1370 

65 

66 

92.8460 

1531 

101.6193 

3933 

111.4348 

1374 

122.4270 

3944 

66 

67 

94.7744 

7546 

103.8895 

8107 

1 14.1063 

3594 

125.5695 

1263 

67 

68 

96.7222 

2021 

106.1882 

0083 

1 16.8179 

3098 

128.7669 

7910 

68 

69 

98.6894 

4242 

108.5155 

5334 

1 19.5701 

9995 

132.0204 

0124 

69 

70 

100.6763 

3684 

110.8719 

9776 

122.3637 

5295 

135.3307 

5826 

70 

71 

102.6831 

0021 

113.2578 

9773 

125.1992 

0924 

138.6990 

4653 

71 

72 

104.7099 

3121 

115.6736 

2145 

128.0771 

9738 

142.1262 

7984 

72 

73 

106.7570 

3052 

1  18.1  195 

4172 

130.9983 

5534 

145.6134 

8974 

73 

74 

108.8246 

0083 

120.5960 

3599 

133.9633 

3067 

149.1617 

2581 

74 

75 

110.9128 

4684 

123.1034 

8644 

136.9727 

8063 

152.7720 

5601 

75 

76 

113.0219 

7530 

125.6422 

8002 

140,0273 

7234 

156.4455 

6699 

76 

77 

115.1521 

9506 

128.2128 

0852 

143.1277 

8292 

160.1833 

6441 

77 

78 

117.3037 

1701 

130.8154 

6863 

146.2746 

9967 

163.9865 

7329 

78 

79 

119.4767 

5418 

133.4506 

6199 

149.4688 

2016 

167.8563 

3832 

79 

80 

121.6715 

2172 

136.1  187 

9526 

152.7108 

5247 

171.7938 

2424 

80 

81 

123.8882 

3694 

138.8202 

8020 

156.0015 

1525 

175.8002 

1617 

81 

82 

126.1271 

1931 

141.5555 

3370 

159.3415 

3798 

179.8767 

1995 

82 

83 

128.3883 

9050 

144.3249 

7787 

162.7316 

6105 

184.0245 

6255 

83 

84 

130.6722 

7440 

147.1290 

4010 

166.1726 

3597 

188.2449 

9239 

84 

85 

132.9789 

9715 

149.9681 

5310 

169.6652 

2551 

192.5392 

7976 

85 

86 

135.3087 

8712 

152.8427 

5501 

173.2102 

0389 

196.9087 

1716 

86 

87 

137.6618 

7499 

155.7532 

8945 

176.8083 

5695 

201.3546 

1971 

87 

88 

140.0384 

9374 

158.7002 

0557 

180.4604 

8230 

205.8783 

2555 

88 

89 

142.4388 

7868 

161.6839 

5814 

184.1673 

8954 

210.481  1 

9625 

89 

90 

144.8632 

6746 

164.7050 

0762 

187.9299 

0038 

215.1646 

1718 

90 

91 

147.31 19 

0014 

167.7638 

2021 

191.7488 

4889 

219.9299 

9798 

91 

92 

149.7850 

1914 

170.8608 

6796 

195.6250 

8162 

224.7787 

7295 

92 

93 

152.2828 

6933 

173.9966 

2881 

199.5594 

5784 

229.7124 

0148 

93 

94 

154.8056 

9803 

177.1715 

8667 

203.5528 

4971 

234.7323 

6850 

94 

95 

157.3537 

5501 

180.3862 

1 

3151 

207.6061 

4246 

239.8401 

8495 

95 

96 

159.9272 

9256 

183.6410 

5940 

211.7202 

3459 

245.0373 

8819 

96 

97 

162.5265 

6548 

186.9365 

7264 

215.8960 

3811 

250.3255 

4248 

97 

98 

165.1518 

31  14 

190.2732 

7980 

220.1344 

7868 

255.7062 

3947 

98 

99 

167.8033 

4945 

193.6516 

9580 

224.4364 

9586 

261.1810 

9866 

99 

100 

170.4813 

8294 

197.0723 

4200 

228.8030 

4330 

266.7517 

6789 

100 

Amount  of  1  per  Annum  at  Compound  Interest 

TABLE  III.  -^_  =  [(l+0"-l]A 


n 

2% 

2h% 

oi, -t  • 
^-'2  /O 

2h% 

n 

1 

1.0000 

0000 

1.0000 

0000 

1.0000  0000 

1.0000  0000 

1 

2 

2.0200 

0000 

2.0225 

0000 

2.0250  0000 

2.0275  0000 

2 

3 

3.0604 

0000 

3.0680 

0625 

3.0756  2500 

3.0832  5625 

3 

4 

4.1216 

0800 

4.1370 

3639 

4.1525  1563 

4.1680  4580 

4 

5 

5.2040 

4016 

5.2301 

1971 

5.2563  2852 

5.2826  6706 

5 

6 

6.3081 

2096 

6.3477 

9740 

6.3877  3673 

6.4279  4040 

6 

7 

7.4342 

8338 

7.4906 

2284 

7.5474  3015 

7.6047  0876 

7 

8 

8.5829 

6905 

8.6591 

6186 

8.7361  1590 

8.8138  3825 

8 

9 

9.7546 

2843 

9.8539 

9300 

9.9545  1880 

10.0562  1880 

9 

10 

10.9497 

2100 

11.0757 

0784 

11.2033  8177 

11.3327  6482 

10 

11 

12.1687 

1542 

12.3249 

1  127 

12.4834  6631 

12.6444  1585 

11 

12 

13.4120 

8973 

13.6022 

2177 

13.7955  5297 

13.9921  3729 

12 

13 

14.6803 

3152 

14.9082 

7176 

15.1404  4179 

15.3769  2107 

13 

14 

15.9739 

3815 

16.2437 

0788 

16.5189  5284 

16.7997  8639 

14 

15 

17.2934 

1692 

17.6091 

9130 

17.9319  2666 

18.2617  8052 

15 

16 

18.6392 

8525 

19.0053 

9811 

19.3802  2483 

19.7639  7948 

16 

17 

20.0120 

7096 

20.4330 

1957 

20.8647  3045 

21.3074  8892 

17 

18 

21.4123 

1238 

21.8927 

6251 

22.3863  4871 

22.8934  4487 

18 

19 

22.8405 

5863 

23.3853 

4966 

23.9460  0743 

24.5230  1460 

19 

20 

24.2973 

6980 

24.91 15 

2003 

25.5446  5761 

26.1973  9750 

20 

21 

25.7833 

1719 

26.4720 

2923 

27.1832  7405 

27.9178  2593 

21 

22 

27.2989 

8354 

28.0676 

4989 

28.8628  5590 

29.6855  6615 

22 

23 

28.8449 

6321 

29.6991 

7201 

30.5844  2730 

31.5019  1921 

23 

24 

30.4218 

6247 

31.3674 

0338 

32.3490  3798 

33.3682  2199 

24 

25 

32.0302 

9972 

33.0731 

6996 

34.1577  6393 

35.2858  4810 

25 

26 

33.6709 

0572 

34.8173 

1628 

36.0117  0803 

37.2562  0892 

26 

27 

35.3443 

2383 

36.6007 

0590 

37.9120  0073 

39.2807  5467 

27 

28 

37.0512 

1031 

38.4242 

2178 

39.8598  0075 

41.3609  7542 

28 

29 

38.7922 

3451 

40.2887 

6677 

41.8562  9577 

43.4984  0224 

29 

30 

40.5680 

7921 

42.1952 

6402 

43.9027  0316 

45.6946  0830 

30 

31 

42.3794 

4079 

44.1446 

5746 

46,0002  7074 

47.9512  1003 

31 

32 

44.2270 

2961 

46.1379 

1226 

48.1502  7751 

50.2698  6831 

32 

33 

46.1  115 

7020 

48.1760 

1528 

50.3540  3445 

52.6522  8969 

33 

34 

48.0338 

0160 

50.2599 

7563 

52.6128  8531 

55.1002  2765 

34 

35 

49.9944 

7763 

52.3908 

2508 

54.9282  0744 

57.6154  8391 

35 

36 

51.9943 

6719 

54.5696 

1864 

57.3014  1263 

60.1999  0972 

36 

37 

54.0342 

5453 

56.7974 

3506 

59.7339  4794 

62.8554  0724 

37 

38 

56.1149 

3962 

59.0753 

7735 

62.2272  9664 

65.5839  3094 

38 

39 

58.2372 

3841 

61.4045 

7334 

64.7829  7906 

68.3874  8904 

39 

40 

60.4019 

8318 

63.7861 

7624 

67.4025  5354 

71.2681  4499 

40 

41 

62.6100 

2284 

66.2213 

6521 

70.0876  1737 

74.2280  1898 

41 

42 

64.8622 

2330 

68.7113 

4592 

72.8398  0781 

77.2692  8950 

42 

43 

67.1594 

6777 

71.2573 

5121 

75.6608  0300 

80.3941  9496 

43 

44 

69.5026 

5712 

73.8606 

4161 

78.5523  2308 

83.6050  3532 

44 

45 

71.8927 

1027 

76.5225 

0605 

81.5161  3116 

86.9041  7379 

45 

46 

74.3305 

6447 

79.2442 

6243 

84.5540  3443 

90.2940  3857 

46 

47 

76.8171 

7576 

82.0272 

5834 

87.6678  8530 

93.7771  2463 

47 

48 

79.3535 

1927 

84.8728 

7165 

90.8595  8243 

97.3559  9556 

48 

49 

81.9405 

8966 

87.7825 

1126 

94.1310  7199 

101.0332  8544 

49 

50 

84.5794 

0145 

90.7576 

1776 

97.4843  4879 

104.8117  0079 

50 

26 


Amount  of  1  per  Annum  at  Compound  Interest 


TABLE  III. 


s-  =  [(l  +  i)"-l]/i 


n 

2% 

2h% 

2h7o 

2%% 

n 

51 

87.2709 

8948 

93.7996 

6416 

100.9214 

5751 

108.6940 

2256 

51 

52 

90.0164 

0927 

96.9101 

5661 

104.4444 

9395 

112.6831 

0818 

52 

53 

92.8167 

3746 

100.0906 

3513 

108.0556 

0629 

116.7818 

9365 

53 

54 

95.6730 

7221 

103.3426 

7442 

111.7569 

9645 

120.9933 

9573 

54 

55 

98.5865 

3365 

106.6678 

8460 

115.5509 

2136 

125.3207 

1411 

55 

56 

101.5582 

6432 

110.0679 

1200 

119.4396 

9440 

129.7670 

3375 

56 

57 

104.5894 

2961 

113.5444 

4002 

123.4256 

8676 

134.3356 

2718 

57 

58 

107.6812 

1820 

117.0991 

8992 

127.5113 

2893 

139.0298 

5692 

58 

59 

110.8348 

4257 

120.7339 

2169 

131.6991 

1215 

143.8531 

7799 

59 

60 

114.0515 

3942 

124.4504 

3493 

135.9915 

8995 

148.8091 

4038 

60 

61 

117.3325 

7021 

128.2505 

6972 

140.3913 

7970 

153.9013 

9174 

61 

62 

120.6792 

2161 

132.1362 

0754 

144.9011 

6419 

159.1336 

8002 

62 

63 

124.0928 

0604 

136.1092 

7221 

149.5236 

9330 

164.5098 

5622 

63 

64 

127.5746 

6216 

140.1717 

3083 

154.2617 

8563 

170.0338 

7726 

64 

65 

131.1261 

5541 

144.3255 

9477 

159.1183 

3027 

175.7098 

0889 

65 

66 

134.7486 

7852 

148.5729 

2066 

164.0962 

8853 

181.5418 

2863 

66 

67 

138.4436 

5209 

152.9158 

1137 

169.1986 

9574 

187.5342 

2892 

67 

68 

142.2125 

2513 

157.3564 

1713 

174.4286 

6314 

193.6914 

2021 

68 

69 

146.0567 

7563 

161.8969 

3651 

179.7893 

7971 

200.0179 

3427 

69 

70 

149.9779 

1114 

166.5396 

1758 

185.2841 

1421 

206.5184 

2746 

70 

71 

153.9774 

6937 

171.2867 

5898 

190.9162 

1706 

213.1976 

8422 

71 

72 

158.0570 

1875 

176.1407 

1106 

196.6891 

2249 

220.0606 

2054 

72 

73 

162.2181 

5913 

181.1038 

7705 

202.6063 

5055 

227.1122 

8760 

73 

74 

166.4625 

2231 

186.1787 

1429 

208.6715 

0931 

234.3578 

7551 

74 

75 

170.7917 

7276 

191.3677 

3536 

214.8882 

9705 

241.8027 

1709 

75 

76 

175.2076 

0821 

196!6735 

0941 

221.2605 

0447 

249.4522 

9181 

76 

77 

179.7117 

6038 

202.0986 

6337 

227.7920 

1709 

257.3122 

2983 

77 

78 

184.3059 

9558 

207.6458 

8329 

234.4868 

1751 

265.3883 

1615 

78 

79 

188.9921 

1549 

213.3179 

1567 

241.3489 

8795 

273.6864 

9485 

79 

80 

193.7719 

5780 

219.1175 

6877 

248.3827 

1265 

282.2128 

7345 

80 

81 

198.6473 

9696 

225.0477 

1407 

255.5922 

8047 

290.9737 

2747 

81 

82 

203.6203 

4490 

231.1112 

8763 

262.9820 

8748 

299.9755 

0498 

82 

83 

208.6927 

5180 

237.3112 

9160 

270.5566 

3966 

309.2248 

3137 

83 

84 

213.8666 

0683 

243.6507 

9567 

278.3205 

5566 

318.7285 

1423 

84 

85 

219.1439 

3897 

250.1329 

3857 

286.2785 

6955 

328.4935 

4837 

85 

86 

224.5268 

1775 

256.7609 

2969 

294.4355 

3379 

338.5271 

2095 

86 

87 

230.0173 

5411 

263.5380 

5060 

302.7964 

2213 

348.8366 

1678 

87 

88 

235.6177 

0119 

270.4676 

5674 

311.3663 

3268 

359.4296 

2374 

88 

89 

241.3300 

5521 

277.5531 

7902 

320.1504 

9100 

370.3139 

3839 

89 

90 

247.1566 

5632 

284.7981 

2555 

329.1542 

5328 

381.4975 

7170 

90 

91 

253.0997 

8944 

292.2060 

8337 

338.3831 

0961 

392.9887 

5492 

91 

92 

259.1617 

8523 

299.7807 

2025 

347.8426 

8735 

404.7959 

4568 

92 

93 

265.3450 

2094 

307.5257 

8645 

357.5387 

5453 

416.9278 

3418 

93 

94 

271.6519 

2135 

315.4451 

1665 

367.4772 

2339 

429.3933 

4962 

94 

95 

278.0849 

5978 

323.5426 

3177 

377.6641 

5398 

442.2016 

6674 

95 

96 

284.6466 

5898 

331.8223 

4099 

388.1057 

5783 

455.3622 

1257 

96 

97 

291.3395 

9216 

340.2883 

4366 

398.8084 

0177 

468.8846 

7342 

97 

98 

298.1663 

8400 

348.9448 

3139 

409.7786 

1182 

482.7790 

0194 

98 

99 

305.1297 

1168 

357.7960 

9010 

421.0230 

7711 

497.0554 

2449 

99 

100 

312.2323 

0591 

366.8465 

0213 

432.5486 

5404 

511.7244 

4867 

100 

27 


Amount  of  1  per  Annum  at  Compound  Interest 

TABLE  III.  ■    s^  =  [(l+i)"-l]  i 


n 

3^0 

4% 

4J^% 

n 

1 

1.0000 

0000 

1.0000 

0000 

1.0000 

0000 

1.0000 

0000 

1 

2 

2.0300 

0000 

2.0350 

0000 

2.0400 

0000 

2.0450 

0000 

2 

3 

2.0909 

0000 

3.1062 

2500 

3.1216 

0000 

3.1370 

2500 

3 

4 

4.1836 

2700 

4.2149 

4288 

4.2464 

6400 

4.2781 

9113 

4 

5 

5.3091 

3581 

5.3624 

6588 

5.4163 

2256 

5.4707 

0973 

5 

6 

6.4684 

0988 

6.5501 

5218 

6.6329 

7546 

6.7168 

9166 

6 

7 

7.6624 

6218 

7.7794 

0751 

7.8992 

9448 

8.0191 

5179 

7 

8 

8.8923 

3605 

9.0516 

8677 

9.2142 

2626 

9.3800 

1362 

8 

9 

10.1591 

0613 

10.3684 

9581 

10.5827 

9531 

10.8021 

1423 

9 

10 

1  1.4638 

7931 

11.7313 

9316 

12.0061 

0712 

12.2882 

0937 

10 

11 

12.8077 

9569 

13.1419 

9192 

13.4863 

5141 

13.8411 

7879 

11 

12 

14.1920 

2956 

14.6019 

6164 

15.0258 

0546 

15.4650 

3184 

12 

13 

15.6177 

9045 

16.1  130 

3030 

16.6268 

3768 

17.1599 

1327 

13 

14 

17.0863 

2416 

17.6769 

8636 

18.2919 

11  19 

18.9321 

0937 

14 

15 

18.5989 

1389 

19.2956 

8088 

20.0235 

8764 

20.7840 

5429 

15 

16 

20.1568 

8130 

20.9710 

2971 

21.8245 

31  14 

22.7193 

3673 

16 

17 

21.7615 

8774 

22.7050 

1575 

23.6975 

1239 

24.7417 

0689 

17 

18 

23.4144 

3537 

24.4996 

9130 

25.6454 

1288 

26.8550 

8370 

18 

19 

25.1  168 

6844 

26.3571 

8050 

27.6712 

2940 

29.0635 

6246 

19 

20 

26.8703 

7449 

28.2796 

8181 

29.7780 

7858 

31.3714 

2277 

20 

21 

28.6764 

8572 

30.2694 

7068 

31.9692 

1072 

33.7831 

3680 

21 

22 

30.5367 

8030 

32.3289 

0215 

34.2479 

6979 

36.3033 

7795 

22 

23 

32.4528 

8370 

34.4604 

1373 

36.6178 

8858 

38.9370 

2996 

23 

24 

34.4264 

7022 

36.6665 

2821 

39.0826 

0412 

41.6891 

9631 

24 

25 

36.4592 

6432 

38.9498 

5669 

41.6459 

0829 

44.5652 

1015 

25 

26 

38.5530 

4225 

41.3131 

0168 

44.31 17 

4il62 

47.5706 

4460 

26 

27 

40.7096 

3352 

43.7590 

6024 

47.0842 

1440 

50.7113 

2361 

27 

28 

42.9309 

2252 

46.2906 

2734 

49.9675 

8298 

53.9933 

3317 

28 

29 

45.2188 

5020 

48.9107 

9930 

52.9662 

8630 

57.4230 

3316 

29 

30 

47.5754 

1571 

51.6226 

7728 

56.0849 

3775 

61.0070 

6966 

30 

31 

50.0026 

7818 

54.4294 

7098 

59.3283 

3526 

64.7523 

8779 

31 

32 

52.5027 

5852 

57.3345 

0247 

62.7014 

6867 

68.6662 

4524 

32 

33 

55.0778 

4128 

60.3412 

1005 

66.2095 

2742 

72.7562 

2628 

33 

34 

57.7301 

7652 

63.4531 

5240 

69.8579 

0851 

77.0302 

5646 

34 

35 

60.4620 

8181 

66.6740 

1274 

73.6522 

2486 

81.4966 

1800 

35 

36 

63.2759 

4427 

70.0076 

0318 

77.5983 

1385 

86.1639 

6581 

36 

37 

66.1742 

2259 

73.4578 

6930 

81.7022 

4640 

91.0413 

4427 

37 

38 

69.1594 

4927 

77.0288 

9472 

85.9703 

3626 

96.1382 

0476 

38 

39 

72.2342 

3275 

80.7249 

0604 

90.4091 

4971 

101.4644 

2398 

39 

40 

75.4012 

5973 

84.5502 

7775 

95.0255 

1570 

107.0303 

2306 

40 

41 

78.6632 

9753 

88.5095 

3747 

99.8265 

3633 

1 12.8466 

8760 

41 

42 

82.0231 

9645 

92.6073 

7128 

104.8195 

9778 

1 18.9247 

8854 

42 

43 

85.4838 

9234 

96.8486 

2928 

110.0123 

8169 

125.2764 

0402 

43 

44 

89.0484 

091  1 

101.2383 

3130 

115.4128 

7696 

131.9138 

4220 

44 

45 

92.7198 

6139 

105.7816 

7290 

121.0293 

9204 

138.8499 

6510 

45 

46 

96.5014 

5723 

1 10.4840 

3145 

126.8705 

6772 

146.0982 

1353 

46 

47 

100.3965 

0095 

115.3509 

7255 

132.9453 

9043 

153.6726 

3314 

47 

48 

104.4083 

9598 

120.3882 

5659 

139.2632 

0604 

161.5879 

0163 

48 

49 

108.5406 

4785 

125.6018 

4557 

145.8337 

3429 

169.8593 

5720 

49 

50 

112.7968 

6729 

130.9979 

1016 

152.6670 

8366 

178.5030 

2828 

50 

28 


Amount  of  1  per  Annum  at  Compound  Interest 


TABLE  III. 


s_=[(l  +  i)"- 


n 

3% 

3^% 

4% 

4^% 

n 

51 

117.1807 

7331 

136.5828 

3702 

159.7737 

6700 

187.5356 

6455 

51 

52 

121.6961 

9651 

142.3632 

3631 

167.1647 

1768 

196.9747 

6946 

52 

53 

126.3470 

8240 

148.3459 

4958 

174.8513 

0639 

206.8386 

3408 

53 

54 

131 .1374 

9488 

154.5380 

5782 

182.8453 

5865 

217.1463 

7262 

54 

55 

136.0716 

1972 

160.9468 

8984 

191.1591 

7299 

227.9179 

5938 

55 

56 

141.1537 

6831 

167.5800 

3099 

199.8055 

3991 

239.1742 

6756 

56 

57 

146.3883 

8136 

174.4453 

3207 

208.7977 

6151 

250.9371 

0960 

57 

58 

151.7800 

3280 

181.5509 

1869 

218.1496 

7197 

263.2292 

7953 

58 

59 

157.3334 

3379 

188.9052 

0085 

227.8756 

5885 

276.0745 

971  1 

59 

60 

163.0534 

3680 

196.5168 

8288 

237.9906 

8520 

289.4979 

5398 

60 

61 

168.9450 

3991 

204.3949 

7378 

248.5103 

1261 

303.5253 

6190 

61 

62 

175.0133 

9110 

212.5487 

9786 

259.4507 

251  1 

318.1840 

0319 

62 

63 

181.2637 

9284 

220.9880 

0579 

270.8287 

5412 

333.5022 

8333 

63 

64 

187.7017 

0662 

229.7225 

8599 

282.6619 

0428 

349.5098 

8608 

64 

65 

194.3327 

5782 

238.7628 

7650 

294.9683 

8045 

366.2378 

3096 

65 

66 

201.1627 

4055 

248.1195 

7718 

307.7671 

1567 

383.7185 

3335 

66 

67 

208.1976 

2277 

257.8037 

6238 

321.0778 

0030 

401.9858 

6735 

67 

68 

215.4435 

5145 

267.8268 

9406 

334.9209 

1231 

421.0752 

3138 

68 

69 

222.9068 

5800 

278.2008 

3535 

349.3177 

4880 

441 .0236 

1679 

69 

70 

230.5940 

6374 

288.9378 

6459 

364.2904 

5876 

461.8696 

7955 

70 

71 

238.51 18 

8565 

300.0506 

8985 

379.8620 

7711 

483.6538 

1513 

71 

72 

246.6672 

4222 

311.5524 

6400 

396.0565 

6019 

506.4182 

3681 

72 

73 

255.0672 

5949 

323.4568 

0024 

412.8988 

2260 

530.2070 

5747 

73 

74 

263.7192 

7727 

335.7777 

8824 

430.4147 

7550 

555.0663 

7505 

74 

75 

272.6308 

5559 

348.5300 

1083 

448.6313 

6652 

581 .0443 

6193 

75 

76 

281.8097 

8126 

361.7285 

6121 

467.5766 

2118 

608.1913 

5822 

76 

77 

291.2640 

7469 

375.3890 

6085 

487.2796 

8603 

636.5599 

6934 

77 

78 

301.0019 

9693 

389.5276 

7798 

507.7708 

7347 

666.2051 

6796 

78 

79 

311.0320 

5684 

404.1611 

4671 

529.0817 

0841 

697.1844 

0052 

79 

80 

321.3630 

1855 

419.3067 

8685 

551.2449 

7675 

729.5576 

9854 

80 

81 

332.0039 

0910 

434.9825 

2439 

574.2947 

7582 

763.3877 

9497 

81 

82 

342.9640 

2638 

451.2069 

1274 

598.2665 

6685 

798.7402 

4575 

82 

83 

354.2529 

4717 

467.9991 

5469 

623.1972 

2952 

835.6835 

5680 

83 

84 

365.8805 

3558 

485.3791 

2510 

649.1251 

1870 

874.2893 

1686 

84 

85 

377.8569 

5165 

503.3673 

9448 

676.0901 

2345 

914.6323 

3612 

85 

86 

390.1926 

6020 

521.9852 

5329 

704.1337 

2839 

956.7907 

9125 

86 

87 

402.8984 

4001 

541.2547 

3715 

733.2990 

7753 

1000.8463 

7685 

87 

88 

415.9853 

9321 

561.1986 

5295 

763.6310 

4063 

1046.8844 

6381 

88 

89 

429.4649 

5500 

581.8406 

0581 

795.1762 

8225 

1094.9942 

6468 

89 

90 

443.3489 

0365 

603.2050 

2701 

827.9833 

3354 

1 145.2690 

0659 

90 

91 

457.6493 

7076 

625.3172 

0295 

862.1026 

6688 

1 197.8061 

1  189 

91 

92 

472.3788 

5189 

648.2033 

0506 

897.5867 

7356 

1252.7073 

8692 

92 

93 

487.5502 

1744 

671.8904 

2073 

934.4902 

4450 

1310.0792 

1933 

93 

94 

503.1767 

2397 

696.4065 

8546 

972.8698 

5428 

1370.0327 

8420 

94 

95 

519.2720 

2569 

721.7808 

1595 

1012.7846 

4845 

1432.6842 

5949 

95 

96 

535.8501 

8645 

748.0431 

4451 

1054.2960 

3439 

1498.1550 

5117 

96 

97 

552.9256 

9205 

775.2246 

5457 

1097.4678 

7577 

1566.5720 

2847 

97 

98 

570.5134 

6281 

803.3575 

1748 

1 142.3665 

9080 

1638.0677 

6976 

98 

99 

588.6288 

6669 

832.4750 

3059 

1 189.0612 

5443 

1712.7808 

1939 

99 

100 

607.2877 

3270 

862.61  16 

5666 

1237.6237 

0461 

1790.8559 

5627 

100 

Amount  of  1  per  Aniiuni  at  Compound  Interest 

TABLE  III.  ^  s-=[(l  +  D"-l]/i 


n 

5% 

•>    2  /O 

6',c 

1 

IVc 

n 

1 

1.0000  0000 

1.0000  0000 

1.0000  0000 

1.0000  0000 

1 

2 

2.0500  0000 

2.0550  0000 

2.0600  0000  ! 

2.0700  0000 

2 

3 

3.1525  0000 

3.1680  2500 

3.1836  0000 

3.2149  0000 

3 

4 

4.3101  2500 

4.3422  6638 

4.3746  1600 

4.4399  4300 

4 

5 

5.5256  3125 

5.5810  9103 

5.6370  9296 

5.7507  3901 

5 

6 

6.8019  1281 

6.8880  5103 

6.9753  1854 

7.1532  9074 

6 

1 

7 

8.1420  0845 

8.2668  9384 

8.3938  3765 

8.6540  2109 

7 

8 

9.5491  0888 

9.7215  7300 

9.8974  6791 

10.2598  0257 

8 

9 

1  1.0265  6432 

11.2562  5951 

11.4913  1598 

11.9779  8875 

9 

10  ! 

12.5778  9254 

12.8753  5379 

13.1807  9494 

13.8164  4796 

10 

11 

14.2067  8716  1 

14.5834  9825 

14.9716  4264 

15.7835  9932 

11 

12 

15.9171  2652 

16.3855  9065 

16.8699  4120 

17.8884  5127 

12 

13 

17.7129  8285 

18.2867  9814 

18.8821  3767 

20.1406  4286 

13 

14 

19.5986  3199 

20.2925  7203 

21.0150  6593 

22.5504  8786 

14 

15 

21.5785  6359 

22.4086  6350 

23.2759  6988 

25.1290  2201 

15 

16 

23.6574  9177 

24.6411  3999 

25.6725  2808 

27.8880  5355 

16 

17 

25.8403  6636 

26.9964  0269 

28.2128  7976 

30.8402  1730 

17 

18 

28.1323  8467 

29.4812  0483 

30.9056  5255 

33.9990  3251 

18 

19 

30.5390  0391 

32.1026  7110 

33.7599  9170 

37.3789  6479 

19 

20 

33.0659  5410 

34.8683  1801 

36.7855  9120 

40.9954  9232 

20 

21 

35.7192  5181 

37.7860  7550 

39.9927  2668 

44.8651  7678 

21 

22 

38.5052  1440 

40.8643  0965 

43.3922  9028 

49.0057  3916 

22 

23 

41.4304  7512 

44.1118  4669 

46.9958  2769 

53.4361  4090 

23 

24 

44.5019  9887 

47.5379  9825 

50.8155  7735 

58.1766  7076 

24 

25 

47.7270  9882 

51.1525  8816 

54.8645  1200 

63.2490  3772 

25 

26 

51.1 134  5376 

54.9659  8051 

59.1563  8272 

68.6764  7036 

26 

27 

54.6691  2645 

58.9891  0943 

63.7057  6568 

74.4838  2328 

27 

28 

58.4025  8277 

63.2335  1045 

68.5281  1162 

80.6976  9091 

28 

29 

62.3227  1  191 

67.7113  5353 

73.6397  9832 

87.3465  2927 

29 

30 

66.4388  4750 

72.4354  7797 

79.0581  8622 

94.4607  8632 

30 

31 

70.7607  8988 

77.4194  2926 

84.8016  7739 

102.0730  4137 

31 

32 

75.2988  2937 

82.6774  9787 

90.8897  7803 

110.2181  5426 

32 

33 

80.0637  7084 

88.2247  6025 

97.3431  6471 

1 18.9334  2506 

33 

34 

85.0669  5938 

94.0771  2207 

104.1837  5460 

128.2587  6481 

34 

35 

90.3203  0735 

100.2513  6378 

111.4347  7987 

138.2368  7835 

35 

36 

95.8363  2272 

106.7651  8879 

1 19.1208  6666 

148.9134  5984 

36 

37 

101.6281  3886 

113.6372  7417 

127.2681  1866 

160.3374  0202 

37 

38 

107.7095  4580 

120.8873  2425 

135.9042  0578 

172.5610  2017 

38 

39 

114.0950  2309 

128.5361  2708 

145.0584  5813 

185.6402  9158 

39 

40 

120.7997  7424 

136.6056  1407 

154.7619  6562 

199.6351  1199 

40 

41 

127.8397  6295 

145.1  189  2285 

165.0476  8356 

214.6095  6983 

41 

42 

135.2317  51  10 

154.1004  6360 

175.9505  4457 

230.6322  3972 

42 

43 

142.9933  3866 

163.5759  8910 

187.5075  7724 

247.7764  9650 

43 

44 

151.1430  0559 

173.5726  6850 

199.7580  3188 

266.1208  5125 

44 

45 

159.7001  5587 

184.1191  6527 

212.7435  1379 

285.7493  1084 

45 

46 

168.6851  6366 

195.2457  1936 

226.5081  2462 

306.7517  6260 

46 

47 

178.1  194  2185 

206.9842  3392 

241.0986  1210 

329.2243  8598 

47 

48 

188.0253  9294 

219.3683  6679 

256.5645  2882 

353.2700  9300 

48 

49 

198.4266  6259 

232.4336  2696 

272.9584  0055 

378.9989  9951 

49 

50 

209.3479  9572 

246.2174  7645 

290.3359  0458 

406.5289  2947 

50 

30 


Amount  of  1  per  Annum  at  Compound  Interest 
TABLE  III.  s-,  =  [(l  +  i)"-l]/i 


n 

5% 

5H% 

6% 

7% 

n 

51 

220.8153 

9550 

260.7594 

3765 

308.7560 

5886 

435.9858 

5454 

51 

52 

232.8561 

6528 

276.1012 

0672 

328.2814 

2239 

467.5049 

7135 

52 

53 

245.4989 

7354 

292.2867 

7309 

348.9783 

0773 

501.2303 

1935 

53 

54 

258.7739 

2222 

309.3625 

4561 

370.9170 

0620 

537.3164 

4170 

54 

55 

272.7126 

1833 

327.3774 

8562 

394.1720 

2657 

575.9285 

9262 

55 

56 

287.3482 

4924 

346.3832 

4733 

418.8223 

4816 

617.2435 

9410 

56 

57 

302.7156 

6171 

366.4343 

2593 

444.9516 

8905 

661.4506 

4569 

57 

58 

318.8514 

4479 

387.5882 

1386 

472.6487 

9040 

708.7521 

9089 

58 

59 

335.7940 

1703 

409.9055 

6562 

502.0077 

1782 

759.3648 

4425 

59 

60 

353.5837 

1788 

433.4503 

7173 

533.1281 

8089 

813.5203 

8335 

60 

61 

372.2629 

0378 

458.2901 

4217 

566.1158 

7174 

871.4668 

1019 

61 

62 

391.8760 

4897 

484.4960 

9999 

601.0828 

2405 

933.4694 

8690 

62 

63 

412.4698 

5141 

512.1433 

8549 

638.1477 

9349 

999.8123 

5098 

63 

64 

434.0933 

4398 

541.31 12 

7170 

677.4366 

61  10 

1070.7992 

1555 

64 

65 

456.7980 

1118 

572.0833 

9164 

719.0828 

6076 

1146.7551 

6064 

65 

66 

480.6379 

1174 

604.5479 

7818 

763.2278 

3241 

1228.0280 

2188 

66 

67 

505.6698 

0733 

638.7981 

1698 

810.0215 

0236 

1314.9899 

8341 

67 

68 

531.9532 

9770 

674.9320 

1341 

859.6227 

9250 

1408.0392 

8225 

68 

69 

559.5509 

6258 

713.0532 

7415 

912.2001 

6005 

1507.6020 

3201 

69 

70 

588.5285 

1071 

753.2712 

0423 

967.9321 

6965 

1614.1341 

7425 

70 

71 

618.9549 

3625 

795.7011 

2046 

1027.0080 

9983 

1728.1235 

6645 

71 

72 

650.9026 

8306 

840.4646 

8209 

1089.6285 

8582 

1850.0922 

1610 

72 

73 

684.4478 

1721 

887.6902 

3960 

1156.0063 

0097 

1980.5986 

7123 

73 

74 

719.6702 

0807 

937.5132 

0278 

1226.3666 

7903 

2120.2405 

7821 

74 

75 

756.6537 

1848 

990.0764 

2893 

1300.9486 

7977 

2269.6574 

1869 

75 

76 

795.4864 

0440 

1045.5306 

3252 

1380.0056 

0055 

2429.5334 

3800 

76 

77 

836.2607 

2462 

1 104.0348 

1731 

1463.8059 

3659 

2600.6007 

7866 

77 

78 

879.0737 

6085 

1165.7567 

3226 

1552.6342 

9278 

2783.6428 

3316 

78 

79 

924.0274 

4889 

1230.8733 

5254 

1646.7923 

5035 

2979.4978 

3148 

79 

80 

971.2288 

2134 

1299.5713 

8693 

1746.5998 

9137 

3189.0626 

7969 

80 

81 

1020.7902 

6240 

1372.0478 

1321 

1852.3958 

8485 

3413.2970 

6727 

81 

82 

1072.8297 

7552 

1448.5104 

4294 

1964.5396 

3794 

3653.2278 

6198 

82 

83 

1  127.4712 

6430 

1529.1785 

1730 

2083.4120 

1622 

3909.9538 

1231 

83 

84 

1184.8448 

2752 

1614.2833 

3575 

2209.4167 

3719 

4184.6505 

7918 

84 

85 

1245.0870 

6889 

1704.0689 

1921 

2342.9817 

4142 

4478.5761 

1972 

85 

86 

1308.3414 

2234 

1798.7927 

0977 

2484.5606 

4591 

4793.0764 

4810 

86 

87 

1374.7584 

9345 

1898.7263 

0881 

2634.6342 

8466 

5129.5917 

9946 

87 

88 

1444.4964 

1812 

2004.1562 

5579 

2793.7123 

4174 

5489.6632 

2543 

88 

89 

1517.7212 

3903 

2115.3848 

4986 

2962.3350 

8225 

5874.9396 

5121 

89 

90 

1594.6073 

0098 

2232.7310 

1660 

3141.0751 

8718 

6287.1854 

2679 

90 

91 

1675.3376 

6603 

2356.5312 

2252 

3330.5396 

9841 

6728.2884 

0667 

91 

92 

1760.1045 

4933 

2487.1404 

3976 

3531.3720 

8032 

7200.2685 

9513 

92 

93 

1849.1097 

7680 

2.624.9331 

6394 

3744.2544 

0514 

7705.2873 

9679 

93 

94 

1942.5652 

6564 

2770.3044 

8796 

3969.9096 

6944 

8245.6575 

1457 

94 

95 

2040.6935 

2892 

2923.6712 

3480 

4209.1042 

4961 

8823.8535 

4059 

95 

96 

2143.7282 

0537 

3085.4731 

5271 

4462.6505 

0459 

9442.5232 

8843 

96 

97 

2251.9146 

1564 

3256.1741 

7611 

4731.4095 

3486 

10104.4999 

1862 

97 

98 

2365.5103 

4642 

3436.2637 

5580 

5016.2941 

0696 

10812.8149 

1292 

98 

99 

2484.7858 

6374 

3626.2582 

6237 

5318.2717 

5337 

11570.7119 

5683 

99 

100 

2610.0251 

5693 

3826.7024 

! 

6680 

5638.3680 

5857 

12381.6617 

9381 

100 

31 


Present  Value  of  1  per  Annum  at  Compound  Interest 


TABLE  IV. 


a-=(l-v")/i 


n 

1% 

ih% 

ih7c 

1%% 

n 

1 

0.9900 

9901 

0.9876 

5432 

0.9852 

2167 

0.9828 

0098 

1 

2 

1.9703 

9506 

1.9631 

1538 

1.9558 

8342 

1.9486 

9875 

2 

3 

2.9409 

8521 

2.9265 

3371 

2.9122 

0042 

2.8979 

8403 

3 

4 

3.9019 

6555 

3.8780 

5798 

3.8543 

8465 

3.8309 

4254 

4 

5 

4.8534 

3124 

4.8178 

3504 

4.7826 

4497 

4.7478 

5508 

5 

6 

5.7954 

7647 

5.7460 

0992 

5.6971 

8717 

5.6489 

9762 

6 

7 

6.7281 

9453 

6.6627 

2585 

6.5982 

1396 

6.5346 

4139 

7 

8 

7.6516 

7775 

7.5681 

2429 

7.4859 

2508 

7.4050 

5297 

8 

9 

8.5660 

1758 

8.4623 

4498 

8.3605 

1732 

8.2604 

9432 

9 

10 

9.4713 

0453 

9.3455 

2591 

9.2221 

8455 

9.1012 

2291 

10 

11 

10.3676 

2825 

10.2178 

0337 

10.0711 

1779 

9.9274 

9181 

11 

12 

11.2550 

7747 

11.0793 

1  197 

10.9075 

0521 

10.7395 

4969 

12 

13 

12.1337 

4007 

11.9301 

8466 

11.7315 

3222 

1  1.5376 

4097 

13 

14 

13.0037 

0304 

12.7705 

5275 

12.5433 

8150 

12.3220 

0587 

14 

15 

13.8650 

5252 

13.6005 

4592 

13.3432 

3301 

13.0928 

8046 

15 

16 

14.7178 

7378 

14.4202 

9227 

14.1312 

6405 

13.8504 

9677 

16 

17 

15.5622 

5127 

15.2299 

1829 

14.9076 

4931 

14.5950 

8282 

17 

18 

16.3982 

6858 

16.0295 

4893 

15.6725 

6089 

15.3268 

6272 

18 

19 

17.2260 

0850 

16.8193 

0759 

16.4261 

6837 

16.0460 

5673 

19 

20 

18.0455 

5297 

17.5993 

1613 

17.1686 

3879 

16.7528 

8130 

20 

21 

18.8569 

8313 

18.3696 

9495 

17.9001 

3673 

17.4475 

4919 

21 

22 

19.6603 

7934 

19.1305 

6291 

18.6208 

2437 

18.1302 

6948 

22 

33 

20.4558 

2113 

19.8820 

3744 

19.3308 

6145 

18.8012 

4764 

23 

24 

21.2433 

8726 

20.6242 

3451 

20.0304 

0537 

19.4606 

8565 

24 

25 

22.0231 

5570 

21.3572 

6865 

20.7196 

1120 

20.1087 

8196 

25 

26 

22.7952 

0366 

22.0812 

5299 

21.3986 

3172 

20.7457 

3166 

26 

27 

23.5596 

0759 

22.7962 

9925 

22.0676 

1746 

21.3717 

2644 

27 

28 

24.3164 

4316 

23.5025 

1778 

22.7267 

1671 

21.9869 

5474 

28 

29 

25.0657 

8530 

24.2000 

1756 

23.3760 

7558 

22.5916 

0171 

29 

30 

25.8077 

0822 

24.8889 

0623 

24.0158 

3801 

23.1858 

4934 

30 

31 

26.5422 

8537 

25.5692 

9010 

24.6461 

4582 

23.7698 

7650 

31 

32 

27.2695 

8947 

26.2412 

7418 

25.2671 

3874 

24.3438 

5897 

32 

33 

27.9896 

9255 

26.9049 

6215 

25.8789 

5442 

24.9079 

6951 

33 

34 

28.7026 

6589 

27.5604 

5644 

26.4817 

2849 

25.4623 

7789 

34 

35 

29.4085 

8009 

28.2078 

5822 

27.0755 

9458 

26.0072 

5100 

35 

36 

30.1075 

0504 

28.8472 

6737 

27.6606 

8431 

26.5427 

5283 

36 

37 

30.7995 

0994 

29.4787 

8259 

28.2371 

2740 

27.0690 

4455 

37 

38 

31.4846 

6330 

30.1025 

0133 

28.8050 

5163 

27.5862 

8457 

38 

39 

32.1630 

3298 

30.7185 

1983 

29.3645 

8288 

28.0946 

2857 

39 

40 

32.8346 

8611 

31.3269 

3316 

29.9158 

4520 

28.5942 

2955 

40 

41 

33.4996 

8922 

31.9278 

3522 

30.4589 

6079 

29.0852 

3789 

41 

42 

34.1581 

0814 

32.5213 

1874 

30.9940 

5004 

29.5678 

0136 

42 

43 

34.8100 

0806 

33.1074 

7530 

31.5212 

3157 

30.0420 

6522 

43 

44 

35.4554 

5352 

33.6863 

9536 

32.0406 

2223 

30.5081 

7221 

44 

45 

36.0945 

0844 

34.2581 

6825 

32.5523 

3718 

30.9662 

6261 

45 

46 

36.7272 

3608 

34.8228 

8222 

33.0564 

8983 

31.4164 

7431 

46 

47 

37.3536 

9909 

35.3806 

2442 

33.5531 

9195 

31.8589 

4281 

47 

48 

37.9739 

5949 

35.9314 

8091 

34.0425 

5365 

32.2938 

0129 

48 

49 

38.5880 

7871 

36.4755 

3670 

34.5246 

8339 

32.721 1 

8063 

49 

50 

39.1961 

1753 

37.0128 

7574 

34.9996 

8807 

33.1412 

0946 

50 

.32 


Present  Value  of  1  per  Annum  at  Compound  Interest 

TABLE  IV.  a    =(l-v")/i 


n 

1% 

ih% 

ih% 

.1%% 

n 

51 

39.7981 

3617 

37.5435 

8099 

35.4676 

7298 

33.5540 

1421 

51 

52 

40.3941 

9423 

38.0677 

3431 

35.9287 

4185 

33.9597 

1913 

52 

53 

40.9843 

5072 

38.5854 

1660 

36.3829 

9690 

34.3584 

4633 

53 

54 

41.5686 

6408 

39.0967 

0776 

36.8305 

3882 

34.7503 

1579 

54 

55 

42.1471 

9216 

39.6016 

8667 

37.2714 

6681 

35.1354 

4550 

55 

56 

42.7199 

9224 

40.1004 

3128 

37.7058 

7863 

35.5139 

5135 

56 

57 

43.2871 

2102 

40.5930 

1855 

38.1338 

7058 

35.8859 

4727 

57 

58 

43.8486 

3468 

41.0795 

2449 

38.5555 

3751 

36.2515 

4523 

58 

59 

44.4045 

8879 

41  .5600 

2419 

38.9709 

7292 

36.6108 

5526 

59 

60 

44.9550 

3841 

42.0345 

9179 

39.3802 

6889 

36.9639 

8552 

60 

61 

45.5000 

3803 

42.5033 

0054 

39.7835 

1614 

37.3110 

4228 

61 

62 

46.0396 

4161 

42.9662 

2275 

40.1808 

0408 

37.6521 

3000 

62 

63 

46.5739 

0258 

43.4234 

2988 

40.5722 

2077 

37.9873 

5135 

63 

64 

47.1028 

7385 

43.8749 

9247 

40.9578 

5298 

38.3168 

0723 

64 

65 

47.6266 

0777 

44.3209 

8022 

41.3377 

8618 

38.6405 

9678 

65 

66 

48.1451 

5621 

44.7614 

6195 

41.7121 

0461 

38.9588 

1748 

66 

67 

48.6585 

7050 

45.1965 

0563 

42.0808 

9125 

39.2715 

6509 

67 

68 

49.1669 

0149 

45.6261 

7840 

42.4442 

2783 

39.5789 

3375 

68 

69 

49.6701 

9949 

46.0505 

4656 

42.8021 

9490 

39.8810 

1597 

69 

70 

50.1685 

1435 

46.4696 

7562 

43.1548 

7183 

40.1779 

0267 

70 

71 

50.6618 

9539 

46.8836 

3024 

43.5023 

3678 

40.4696 

8321 

71 

72 

51.1503 

9148 

47.2924 

7431 

43.8446 

6677 

40.7564 

4542 

72 

73 

51.6340 

5097 

47.6962 

7093 

44.1819 

3771 

41.0382 

7560 

73 

74 

52.1  129 

2175 

48.0950 

8240 

44.5142 

2434 

41.3152 

5857 

74 

75 

52.5870 

5124 

48.4889 

7027 

44.8416 

0034 

41.5874 

7771 

75 

76 

53.0564 

8637 

48.8779 

9533 

45.1641 

3826 

41.8550 

1495 

76 

77 

53.5212 

7364 

49.2622 

1761 

45.4819 

0962 

42.1  179 

5081 

77 

78 

53.9814 

5905 

49.6416 

9640 

45.7949 

8485 

42.3763 

6443 

78 

79 

54.4370 

8817 

50.0164 

9027 

46.1034 

3335 

42.6303 

3359 

79 

80 

54.8882 

0611 

50.3866 

5706 

46.4073 

2349 

42.8799 

3474 

80 

81 

55.3348 

5753 

50.7522 

5389 

46.7067 

2265 

43.1252 

4298 

81 

82 

55.7770 

8666 

51.1 133 

3717 

47.0016 

9720 

43.3663 

3217 

82 

83 

56.2149 

3729 

51.4699 

6264 

47.2923 

1251 

43.6032 

7486 

83 

84 

56.6484 

5276 

51.8221 

8532 

47.5786 

3301 

43.8361 

4237 

84 

85 

57.0776 

7600 

52.1700 

5958 

47.8607 

2218 

44.0650 

0479 

85 

86 

57.5026 

4951 

52.5136 

3909 

48.1386 

4254 

44.2899 

3099 

86 

87 

57.9234 

1535 

52.8529 

7688 

48.4124 

5571 

44.5109 

8869 

87 

88 

58.3400 

1520 

53.1881 

2531 

48.6822 

2237 

44.7282 

4441 

88 

.89 

58.7524 

9030 

53.5191 

361  1 

48.9480 

0234 

44.9417 

6355 

89 

90 

59.1608 

8148 

53.8460 

6035 

49.2098 

5452 

45.1516 

1037 

90 

91 

59.5652 

2919 

54.1689 

4850 

49.4678 

3696 

45.3578 

4803 

91 

92 

59.9655 

7346 

54.4878 

5037 

49.7220 

0686 

45.5605 

3860 

92 

93 

60.3619 

5392 

54.8028 

1518 

49.9724 

2055 

45.7597 

4310 

93 

94 

60.7544 

0982 

55.1  138 

9154 

50.2191 

3355 

45.9555 

2147 

94 

95 

61.1429 

8002 

55.4211 

2744 

50.4622 

0054 

46.1479 

3265 

95 

96 

61.5277 

0299 

55.7245 

7031 

50.7016 

7541 

46.3370 

3455 

96 

97 

61.9086 

1682 

56.0242 

6698 

50.9376 

1  124 

46.5228 

8408 

97 

98 

62.2857 

5923 

56.3202 

6368 

51.1700 

6034 

46.7055 

3718 

98 

99 

62.6591 

6755 

56.6126 

0610 

51.3990 

7422 

46.8850 

4882 

99 

100 

63.0288 

7877 

56.9013 

3936 

51.6247 

0367 

47.0614 

7304 

100 

33 


Present  Value  of  1  per  Annum  at  Compound  Interest 

TABLE  IV.  .  a-  =  (l-v")/i 


n 

2% 

2h% 

2h% 

2%% 

n 

1 

0.9803  9216 

0.9779  9511 

0.9756  0976 

0.9732  3601 

1 

2 

1.9415  6094 

1.9344  6955 

1.9274  2415 

1.9204  2434 

2 

3 

2.8838  8327 

2.8698  9687 

2.8560  2356 

2.8422  6213 

3 

4 

3.8077  2870 

3.7847  4021 

3.7619  7421 

3.7394  2787 

4 

5 

4.7134  5951 

4.6794  5253 

4.6458  2850 

4.6125  8186 

5 

1 

6 

5.6014  3089 

5.5544  7680 

i    5.5081  2536 

5.4623  6678 

6 

7 

6.4719  9107 

6.4102  4626 

6.3493  9060 

6.2894  0806 

7 

8 

7.3254  8144 

7.2471  8461 

7.1701  3717 

7.0943  1441 

8 

9 

8.1622  3671 

8.0657  0622 

7.9708  6553 

7.8776  7826 

9 

10 

8.9825  8501 

_8.8662  1635 

8.7520  6393 

8.6400  7616 

10 

11 

9.7868  4805 

9.6491  1134 

9.5142  0871 

9.3820  6926 

11 

12 

10.5753  4122 

10.4147  7882 

10.2577  6460 

10.1042  0366 

12 

13 

1  1.3483  7375 

1  1.1635  9787 

10.9831  8497 

10.8070  1086 

13 

14 

12.1062  4877 

1  1.8959  3924 

1  1.5909  1217 

1  1.4910  0814 

14 

15 

12.8492  6350 

12.6121  6551 

12.3813  7773 

12.1566  9892 

15 

16 

13.5777  0931 

13.3126  3131 

13.0550  0266 

12.8045  7315 

16 

17 

14.2918  7188 

13.9976  8343 

13.7121  9772 

13.4351  0769 

17 

18 

14.9920  3125 

14.6676  6106 

14.3533  6363 

14.0487  6661 

18 

19 

15.6784  6201 

15.3228  9590 

14.9788  9134 

14.6460  0157 

19 

20 

16.3514  3334 

15.9637  1237 

15.5891  6229 

15.2272  5213 

20 

21 

17.01 12  0916 

16.5904  2775 

16.1845  4857 

15.7929  4612 

21 

22 

17.6580  4820 

17.2033  5232 

16.7654  1324 

16.3434  9987 

22 

23 

18.2922  0412 

17.8027  8955 

17.3321  1048 

16.8793  1861 

23 

24 

18.9139  2560 

18.3890  3624 

17.8849  8583 

17.4007  9670 

24 

25 

19.5234  5647 

18.9623  8263 

18.4243  7642 

17.9083  1795 

25 

26 

20.1210  3576 

19.5231  1260 

18.9506  1114 

18.4022  5592 

26 

27 

20.7068  9780 

20.0715  0376 

19.4640  1087 

18.8829  7413 

27 

28 

21.2812  7236 

20.6078  2764 

19.9648  8866 

19.3508  2640 

28 

29 

21.8443  8466 

21.1323  4977 

20.4535  4991 

19.8061  5708 

29 

30 

22.3964  5555 

21.6453  2985 

20.9302  9259 

20.2493  0130 

30 

31 

22.9377  0152 

22.1470  2186 

21.3954  0741 

20.6805  8520 

31 

32 

23.4683  3482 

22.6376  7419 

21.8491  7796 

21.1003  2623 

32 

33 

23.9885  6355 

23.1  175  2977 

22.2918  8094 

21.5088  3332 

33 

34 

24.4985  9172 

23.5868  2618 

22.7237  8628 

21.9064  0712 

34 

35 

24.9986  1933 

24.0457  9577 

23.1451  5734 

22.2933  4026 

35 

36 

25.4888  4248 

24.4946  6579 

23.5562  5107 

22.6699  1753 

36 

37 

25.9694  5341 

24.9336  5848 

23.9573  1812 

23.0364  1609 

37 

38 

26.4406  4060 

25.3629  9118 

24.3486  0304 

23.3931  0568 

38 

39 

26.9025  8883 

25.7828  7646 

24.7303  4443 

23.7402  4884 

39 

40 

27.3554  7924 

26.1935  2221 

25.1027  7505 

24.0781  0106 

40 

41 

27.7994  8945 

26.5951  3174 

25.4661  2200 

24.4069  1101 

41 

42 

28.2347  9358 

26.9879  0390 

25.8206  0683 

24.7269  2069 

42 

43 

28.6615  6233 

27.3720  3316 

26.1664  4569 

25.0383  6563 

43 

44 

29.0799  6307 

27.7477  0969 

26.5038  4945 

25.3414  7507 

44 

45 

29.4901  5987 

28.1151  1950 

26.8330  2386 

25.6364  7209 

45 

46 

29.8923  1360 

28.4744  4450 

27.1541  6962 

25.9235  7381 

46 

47 

30.2865  8196 

28.8258  6259 

27.4674  8255 

26.2029  9154 

47 

48 

30.6731  1957 

29.1695  4777 

27.7731  5371 

26.4749  3094 

48 

49 

31.0520  7801 

29.5056  7019 

28.0713  6947 

26.7395  9215 

49 

50 

31.4236  0589 

29.8343  9627 

28.3623  1  168 

26.9971  6998 

50 

34 


Present  Value  of  1  per  Annum  at  Compound  Interest 

TABLE  IV.  a    =(l-r")/i 


n 

2% 

51 

31.7878  4892 

52 

32.1449  4992 

53 

32.4950  4894 

54 

32.8382  8327 

55 

33.1747  8752 

56 

33.5046  9365 

57 

33.8281  3103 

58 

34.1452  2650 

59 

34.4561  0441 

60 

34.7608  8668 

61 

35.0596  9282 

62 

35.3526  4002 

63 

35.6398  4316 

64 

35.9214  1486 

65 

36.1974  6555 

66 

36.4681  0348 

67 

36.7334  3478 

68 

36.9935  6351 

69 

37.2485  9168 

70 

37.4986  1929 

i 

71 

1 
37.7437  4441 

72 

37.9840  6314 

73 

38.2196  6975 

74 

38.4506  5662 

75 

38.6771  1433 

76 

38.8991  3170 

77 

39.1  167  9578 

78 

39.3301  9194 

79 

39.5394  0386 

80 

39.7445  1359 

81 

39.9456  0156 

82 

40.1427  4663 

83 

40.3360  2611 

84 

40.5255  1579 

85 

40.7112  8999 

86 

40.8934  2156 

87 

41.0719  8192 

88 

41.2470  4110 

89 

41.4186  6774 

90 

41.5869  2916 

91 

41.7518  9133 

92 

41.9136  1895 

93 

42.0721  7545 

94 

42.2276  2299 

95 

42.3800  2254 

96 

42.5294  3386 

97 

42.6759  1555 

98 

42.8195  2505 

99 

42.9603  1867 

100 

43.0983  5164 

2h% 


30.1558  8877 
30.4703  0687 
30.7778  0623 
31.0785  3910 
31.3726  5438 

31.6602  9768 
31.9416  1 142 
32.2167  3489 
32.4858  0429 
32.7489  5285 

33.0063  1086 
33.2580  0573 
33.5041  6208 
33.7449  0179 
33.9803  4405 

34.2106  0543 
34.4357  9993 
34.6560  3905 
34.8714  3183 
35.0820  8492 

35.2881  0261 
35.4895  8691 
35.6866  3756 
35.8793  5214 
36.0678  2605 

36.2521  5262 
36.4324  2310 
36.6087  2675 
36.781 1  5085 
36.9497  8079 

37.1  147  0004 

37.2759  9026 

37.4337  3130 

37.5880  0127 

37.7388  7655 

37.8864  3183 
38.0307  4018 
38.1718  7304 
38.3099  0028 
38.4448  9025 

38.5769  0978 
38.7060  2423 
38.8322  9754 
38.9557  9221 
39.0765  6940 

39.1946  8890 
39.3102  0920 
39.4231  8748 
39.5336  7968 
39.6417  4052 


2H% 


28.6461  5774 
28.9230  8072 
29.1932  4948 
29.4568  2876 
29.7139  7928 

29.9648  5784 
30.2096  1740 
30.4484  0722 
30.6813  7290 
.30.9086  5649 

31.1303  9657 
31.3467  2836 
31.5577  8377 
31.7636  9148 
31.9645  7705 

32.1605  6298 
32.3517  6876 
32.5383  1099 
32.7203  0340 
32.8978  5698 

33.0710  7998 
33.2400  7803 
33.4049  5417 
33.5658  0895 
33.7227  4044 

33.8758  4433 
34.0252  1398 
34.1709  4047 
34.3131  1265 
34.4518  1722 

34.5871  3875 
34.7191  5976 
34.8479  6074 
34.9736  2023 
35.0962  1486 

35.2158  1938 
35.3325  0671 
35.4463  4801 
35.5574  1269 
35.6657  6848 

35.7714  8144 
35.8746  1604 
35.9752  3516 
36.0734  0016 
36.1691  7089 

36.2626  0574 
36.3537  6170 
36.4426  9434 
36.5294  5790 
36.6141  0526 


2%% 


27.2478  5400 
27.4918  2871 
27.7292  7368 
27.9603  6368 
28.1852  6879 

28.4041  5454 
28.6171  8203 
28.8245  0806 
29.0262  8522 
29.2226  6201 

29.4137  8298 
29.5997  8879 
29.7808  1634 
29.9569  9887 
30.1284  6605 

30.2953  4409 
30.4577  5581 
30.6158  2074 
30.7696  5522 
30.9193  7247 

31.0650  8270 
31.2068  9314 
31.3449  0816 
31.4792  2936 
31.6099  5558 

31.7371  8304 
31.8610  0540 
31.9815  1377 
32.0987  9685 
32.2129  4098 

32.3240  3015 
32.4321  4613 
32.5373  6850 
32.6397  7469 
32.7394  4009 

32.8364  3804 

32.9308  3994 

33.0227  1527 

33.1  121  3165 

33.1991  5489 

33.2838  4905 
33.3662  7644 
33.4464  9776 
33.5245  7202 
33.6005  5671 

33.6745  0775 
33.7464  7956 
33.8165  2512 
33.8846  9598 
33.9510  4232 


n 

51 
52 
53 
54 
55 

56 
57 
58 
59 
60 

61 
62 
63 
64 
65 

66 
67 
68 
69 
70 

71 
72 
73 
74 
75 

76 
77 
78 
79 
80 

81 
82 
83 
84 
85 

86 
87 
88 
89 
90 

91 
92 
93 
94 
95 

96 
97 
98 
99 
100 


35 


Present  Value  of  1  per  Annum  at  Compound  Interest 

TABLE  IV.  ^        a-  =  {l-v")/i 


n 

3% 

sh7c 

4% 

^hVc        j 

n 

1 

0.9708  7379 

0.9661  8357 

0.9615  3846 

0.9569  3780 

1 

2 

1.9134  6970 

1.8996  9428 

1.8860  9467 

1.8726  6775 

2 

3 

2.8286  1 135 

2.8016  3698 

2.7750  9103 

2.7489  6435 

3 

4 

3.7170  9840 

3.6730  7921 

3.6298  9522 

3.5875  2570 

4 

5 

4.5797  0719 

4.5150  5238 

4.4518  2233 

1 

4.3899  7674 

5 

6 

5.4171  9144 

! 

5.3285  5302   | 

1 
5.2421  3686 

5.1578  7248 

6 

7 

6.2302  8296   ; 

6.1145  4398   ' 

6.0020  5467 

5.8927  0094 

7 

8 

7.0196  9219 

6.8739  5554 

6.7327  4487 

6.5958  8607 

8 

9 

7.7861  0892 

7.6076  8651 

7.4353  3161 

7.2687  9050 

9 

10 

8.5302  0284 

8.3166  0532 

8.1108  9578 

7.9127  1818 

10 

11 

9.2526  241 1 

9.0015  5104 

8.7604  7671 

8.5289  1692 

11 

12 

9.9540  0399 

9.6633  3433 

9.3850  7376 

9.1 185  8078 

12 

13 

10.6349  5533 

10.3027  3849 

9.9856  4785   | 

9.6828  5242 

13 

14 

11.2960  7314 

10.9205  2028 

10.5631  2293 

10.2228  2528 

14 

15 

11.9379  3509 

11.5174  1090 

11.1183  8743 

10.7395  4573 

15 

16 

12.561 1  0203 

12.0941  1681 

11.6522  9561 

11.2340  1505 

16 

17 

13.1661  1847 

12.6513  2059 

12.1656  6885 

11.7071  9143 

17 

18 

13.7535  1308 

13.1896  8173 

12.6592  9697 

12.1599  9180 

18 

19 

14.3237  9911 

13.7098  3742 

13.1339  3940 

12.5932  9359 

19 

20 

14.8774  7486 

14.2124  0330 

13.5903  2634 

13.0079  3645 

20 

21 

15.4150  2414 

14.6979  7420 

14.0291  5995 

13.4047  2388 

21 

22 

15.9369  1664 

15.1671  2484 

14.4511  1533 

13.7844  2476 

22 

23 

16.4436  0839 

15.6204  1047 

14.8568  4167 

14.1477  7489 

23 

24 

16.9355  4212 

16.0583  6760 

15.2469  6314 

14.4954  7837 

24 

25 

17.4131  4769 

16.4815  1459 

15.6220  7994 

14.8282  0896 

25 

26 

17.8768  4242 

16.8903  5226 

15.9827  6918 

15.1466  1  145 

26 

27 

18.3270  3147 

17.2853  6451 

16.3295  8575 

15.4513  0282 

27 

28 

18.7641  0823 

17.6670  1885 

16.6630  6322 

15.7428  7351 

28 

29 

19.1884  5459 

18.0357  6700 

16.9837  1463 

16.0218  8853 

29 

30 

19.6004  4135 

18.3920  4541 

17.2920  3330 

16.2888  8854 

30 

31 

20.0004  2849 

18.7362  7576 

17.5884  9356 

16.5443  9095 

31 

32 

20.3887  6553 

19.0688  6547 

17.8735  5150 

16.7888  9086 

32 

33 

20.7657  9178 

19.3902  0818 

18.1476  4567 

17.0228  6207 

33 

34 

21.1318  3668 

19.7006  8423 

18.41  1 1  9776 

17.2467  5796 

34 

35 

21.4872  2007 

20.0006  6110 

18.6646  1323 

17.4610  1240 

35 

36 

21.8322  5250 

20.2904  9381 

18.9082  8195 

17.6660  4058 

36 

37 

22.1672  3544 

20.5705  2542 

19.1425  7880 

17.8622  3979 

37 

38 

22.4924  6159 

20.8410  8736 

19.3678  6423 

18.0499  9023 

38 

39 

22.8082  1513 

21.1024  9987 

19.5844  8484 

18.2296  5572 

39 

40 

23.1  147  7197 

21.3550  7234 

19.7927  7388 

18.4015  8442 

40 

41 

23.4123  9997 

21.5991  0371 

19.9930  5181 

18.5661  0949 

41 

42 

23.7013  5920 

21.8348  8281 

20.1856  2674 

18.7235  4975 

42 

43 

23.9819  0213 

22.0626  8870 

20.3707  9494 

18.8742  1029 

43 

44 

24.2542  7392 

22.2827  9102 

20.5488  4129 

19.0183  8305 

44 

45 

24.5187  1254 

22.4954  5026 

20.7200  3970 

19.1563  4742 

45 

46 

24.7754  4907 

22.7009  1813 

20.8846  5356 

19.2883  7074 

46 

47 

25.0247  0783 

22.8994  3780 

21.0429  3612 

19.4147  0884 

47 

48 

25.2667  0664 

23.0912  4425 

21.1951  3088 

19.5356  0654 

48 

49 

25.5016  5693 

23.2765  6450 

21.3414  7200 

19.6512  9813 

49 

50 

25.7297  6401 

23.4556  1787 

21.4821  8462 

19.7620  0778 

50 

36 


Present  Value  of  1  per  Annum  at  Compound  Interest 

TABLE  IV.  a-  =  (l-vn/i 


n 

3% 

3^% 

4% 

4ig% 

fl 

51 

25.9512 

2719 

23.6286 

1630 

21.6174  8521 

19.8679  5003 

51 

52 

26.1662 

3999 

23.7957 

6454 

21.7475  8193 

19.9693  3017 

52 

53 

26.3749 

9028 

23.9572 

6043 

21.8726  7493 

20.0663  4466 

53 

54 

26.5776 

6047 

24.1  132 

9510 

21.9929  5667 

20.1591  8149 

54 

55 

26.7744 

2764 

24.2640 

5323 

22.1086  1218 

20.2480  2057 

55 

56 

26.9654 

6373 

24.4097 

1327 

22.2189  1940 

20.3330  3404 

56 

57 

27.1509 

3566 

24.5504 

4760 

22.3267  4943 

20.4143  8664 

57 

58 

27.3310 

0549 

24.6864 

2281 

22.4295  6676 

20.4922  3602 

58 

59 

27.5058 

3058 

24.8177 

9981 

22.5284  2957 

20.5667  3303 

59 

60 

27.6755 

6367 

24.9447 

3412 

22.6234  8997 

20.6380  2204 

60 

61 

27.8403 

5307 

25.0673 

7596 

22.7148  9421 

20.7062  41 18 

61 

62 

28.0003 

4279 

25.1858 

7049 

22.8027  8289 

20.7715  2266 

62 

63 

28.1556 

7261 

25.3003 

5796 

22.8872  9124 

20.8339  9298 

63 

64 

28.3064 

7826 

25.4109 

7388 

22.9685  4927 

20.8937  7319 

64 

65 

28.4528 

9152 

25.5178 

4916 

23.0466  8199 

20.9509  7913 

65 

66 

28.5950 

4031 

25.6211 

1030 

23.1218  0961 

21.0057  2165 

66 

67 

28.7330 

4884 

25.7208 

7951 

23.1940  4770 

21.0581  0684 

67 

68 

28.8670 

3771 

25.8172 

7489 

23.2635  0740 

21.1082  3621 

68 

69 

28.9971 

2399 

25.9104 

1052 

23.3302  9558 

21.1562  0690 

69 

70 

29.1234 

2135 

26.0003 

9664 

23.3945  1498 

21.2021  1187 

70 

71 

29.2460 

4015 

26.0873 

3975 

23.4562  6440 

21.2460  4007 

71 

72 

29.3650 

8752 

26.1713 

4275 

23.5156  3885 

21.2880  7662 

72 

73 

29.4806 

6750 

26.2525 

0508 

23.5727  2966 

21.3283  0298 

73 

74 

29.5928 

8106 

26.3309 

2278 

23.6276  2468 

21.3667  9711 

74 

75 

29.7018 

2628 

26.4066 

8868 

23.6804  0834 

21.4036  3360 

75 

76 

29.8075 

9833 

26.4798 

9244 

23.7311  6187 

21.4388  8383 

76 

77 

29.S102 

8964 

26.5506 

2072 

23.7799  6333 

21.4726  1611 

77 

78 

30.0099 

8994 

26.6189 

5721 

23.8268  8782 

21.5048  9579 

78 

79 

30.1067 

8635 

26.6849 

8281 

23.8720  0752 

21.5357  8545 

79 

80 

30.2007 

6345 

26.7487 

7567 

23.9153  9185 

21.5653  4493 

80 

81 

30.2920 

0335 

26.8104 

1  127 

23.9571  0754 

21.5936  3151 

81 

82 

30.3805 

8577 

26.8699 

6258 

23.9972  1879 

21.6207  0001 

82 

83 

30.4665 

8813 

26.9275 

0008 

24.0357  8730 

21.6466  0288 

83 

84 

30.5500 

8556 

26.9830 

9186 

24.0728  7240 

21.6713  9032 

84 

85 

30.6311 

5103 

27.0368 

0373 

24.1085  3116 

21.6951  1035 

85 

86 

30.7098 

5537 

27.0886 

9926 

24.1428  1842 

21.7178  0895 

86 

87 

30.7862 

6735 

27.1388 

3986 

24.1757  8694 

21.7395  3009 

87 

88 

30.8604 

5374 

27.1872 

8489 

24.2074  8745 

21.7603  1588 

88 

89 

30.9324 

7936 

27.2340 

9168 

24.2379  6870 

21.7802  0658 

89 

90 

31.0024 

0714 

27.2793 

1564 

24.2672  7759 

21.7992  4075 

90 

91 

31.0702 

9820 

27.3230 

1028 

24.2954  5923 

21.8174  5526 

91 

92 

31.1362 

1  184 

27.3652 

2732 

24.3225  5695 

21.8348  8542 

92 

93 

31.2002 

0567 

27.4060 

1673 

24.3486  1245 

21.8515  6499 

93 

94 

31.2623 

3560 

27.4454 

2680 

24.3736  6582 

21.8675  2631 

94 

95 

31.3226 

5592 

27.4835 

0415 

24.3977  5559 

21.8828  0030 

95 

96 

31.3812 

1934 

27.5202 

9387 

24.4209  1884 

21.8974  1655 

96 

97 

31.4380 

7703 

27.5558 

3948 

24.4431  9119 

21.91 14  0340 

97 

98 

31.4932 

7867 

27.5901 

8308 

24.4646  0692 

21.9247  8794 

98 

99 

31.5468 

7250 

27.6233 

6529 

24.4851  9896 

21.9375  9612 

99 

100 

31.5989 

0534 

27.6554 

2540 

24.5049  9900 

21.9498  5274 

100 

37 


Present  Value  of  1  per  Annum  at  Compound  Interest 
TABLE  IV.  '        ««=(! 


-v 


')/i 


n 

5% 

5h% 

6% 

7C7 
*  /C 

n 

1 

0.9523  8095 

0.9478  6730 

0.9433  9623 

0.9345  7944 

1 

2 

1.8594  1043 

1.8463  1971 

1.8333  9267 

1.8080  1817 

2 

3 

2.7232  4803 

2.6979  3338 

2.6730  1 195 

2.6243  1604 

3 

4 

3.5459  5050 

3.5051  5012 

3.4651  0561 

3.3872  1126 

4 

5 

4.3294  7667 

4.2702  8448 

4.2123  6379 

4.1001  9744 

5 

6 

5.0756  9206 

4.9955  3031 

4.9173  2433 

4.7665  3966 

6 

7 

5.7863  7340 

5.6829  6712 

5.5823  8144 

5.3892  8940 

7 

8 

6.4632  1276 

6.3345  6599 

6.2097  9381 

5.9712  9851 

8 

9 

7.1078  2168 

6.9521  9525 

6.8016  9227 

6.5152  3225 

9 

10 

7.7217  3493 

7.5376  2583 

7.3600  8705 

7.0235  8155 

10 

11 

8.3064  1422 

8.0925  3633 

7.8868  7458 

7.4986  7435 

11 

12 

8.8632  5164 

8.6185  1785 

8.3838  4394 

7.9426  8631 

12 

13 

9.3935  7299 

9.-1170  7853 

8.8526  8296 

8.3576  5075 

13 

14 

9.8986  4094 

9.5896  4790 

9.2949  8393 

8.7454  6800 

14 

15 

10.3796  5804 

10.0375  8094 

9.7122  4899 

9.1079  1402 

15 

16 

10.8377  6956 

10.4621  6203 

10.1058  9527 

9.4466  4861 

16 

17 

1  1.2740  6625 

10.8646  0856 

10.4772  5969 

9.7632  2300 

17 

18 

11.6895  8690 

1  1.2460  7447 

10.8276  0348 

10.0590  8692 

18 

19 

12.0853  2086 

11.6076  5352 

11.1581  1649 

10.3355  9525 

19 

20 

12.4622  1034 

11.9503  8249 

11.4699  2122 

10.5940  1426 

20 

21 

12.8211  5271 

12.2752  4406 

11.7640  7662 

10.8355  2734 

21 

22 

13.1630  0258 

12.5831  6973 

12.0415  8172 

11.0612  4051 

22 

23 

13.4885  7388 

12.8750  4240 

12.3033  7898 

11.2721  8739 

23 

24 

13.7986  4179 

13.1516  9895 

12.5503  5753 

11.4693  3401 

24 

25 

14.0939  4457 

13.4139  3266 

12.7833  5616 

11.6535  8319 

25 

26 

14.3751  8530 

13.6624  9541 

13.0031  6619 

11.8257  7868 

26 

27 

14.6430  3362 

13.8980  9991 

13.2105  3414 

11.9867  0905 

27 

28 

14.8981  2726 

14.1214  2172 

13.4061  6428 

12.1371  1126 

28 

29 

15.1410  7358 

14.3331  0116 

13.5907  2102 

12.2776  7408 

29 

30 

15.3724  5103 

14.5337  4517  . 

13.7648  3115 

12.4090  4119 

30 

31 

15.5928  1050 

14.7239  2907 

13.9290  8599 

12.5318  1420 

31 

32 

15.8026  7667 

14.9041  9817 

14.0840  4339 

12.6465  5533 

32 

33 

16.0025  4921 

15.0750  6936 

14.2302  2961 

12.7537  9003 

33 

34 

16.1929  0401 

15.2370  3257 

14.3681  4114 

12.8540  0937 

34 

35 

16.3741  9429 

15.3905  5220 

14.4982  4636 

12.9476  7231 

35 

36 

16.5468  5171 

15.5360  6843 

14.6209  8713 

13.0352  0777 

36 

37 

16.7112  8734 

15.6739  9851 

14.7367  8031 

13.1170  1661 

37 

38 

16.8678  9271 

15.8047  3793 

14.8460  1916 

13.1934  7346 

38 

39 

17.0170  4067 

15.9286  6154 

14.9490  7468 

13.2649  2847 

39 

40 

17.1590  8635 

16.0461  2469 

15.0462  9687 

13.3317  0885 

40 

41 

17.2943  6796 

16.1574  6416 

15.1380  1592 

13.3941  2042 

41 

42 

17.4232  0758 

16.2629  9920 

15.2245  4332 

13.4524  4900 

42 

43 

17.5459  1198 

16.3630  3242 

15.3061  7294 

13.5069  6168 

43 

44 

17.6627  7331 

16.4578  5063 

15.3831  8202 

13.5579  0811 

44 

45 

17.7740  6982 

16.5477  2572 

15.4558  3209 

13.6055  2160 

45 

46 

17.8800  6650 

16.6329  1537 

15.5243  6990 

13.6500  2019 

46 

47 

17.9810  1571 

16.7136  6386 

15.5890  2821 

13.6916  0765 

47 

48 

18.0771  5782 

16.7902  0271 

15.6500  2661 

13.7304  7444 

48 

49 

18.1687  2173 

16.8627  5139 

15.7075  7227 

13.7767  9855 

49 

50 

18.2559  2546 

16.9315  1790 

15.7618  6064 

13.8007  4630 

50 

38 


Present  Value  of  1  Per  Annum  at  Compound  Interest 
TABLE  IV.  «Hi  =  (l 


■v")/i 


n 

57o 

•> '- '  t 

'■' 

'•' 

/I 

51 

18.3389 

7663 

16.9966  9943 

15.8130 

7607 

13.8324 

7318 

51 

52 

18.4180 

7298 

17.0584  8287 

15.8613 

9252 

13.8621 

2446 

52 

53 

18.4934 

0284 

17.1  170  4538 

15.9069 

7408 

13.8898 

3594 

53 

54 

18.5651 

4556 

17.1725  5486 

15.9499 

7554 

13.9157 

3452 

54 

55 

18.6334 

7196 

17.2251  7048 

15.9905 

4297 

13.9399 

3881 

55 

56 

18.6985 

4473 

17.2750  4311 

16.0288 

1412 

13.9625 

5964 

56 

57 

18.7605 

1879 

17.3223  1575 

16.0649 

1898 

13.9837 

0059 

57 

58 

18.8195 

4170 

17.3671  2393 

16.0989 

8017 

14.0034 

5850 

58 

59 

18.8757 

5400 

17.4095  9614 

16.131  1 

1337 

14.0219 

2383 

59 

60 

18.9292 

8952 

17.4498  5416 

16.1614 

2771 

14.0391 

8115 

60 

61 

18.9802 

7574 

17.4880  1343 

16.1900 

2614 

14.0553 

0949 

61 

62 

19.0288 

3404 

17.5241  8334 

16.2170 

0579 

14.0703 

8270 

62 

63 

19.0750 

8003 

17.5584  6762 

16.2424 

5829 

14.0844 

6981 

63 

64 

19.1  191 

2384 

17.5909  6457 

16.2664 

7009 

14.0976 

3534 

64 

65 

19.1610 

7033 

17.6217  6737 

16.2891 

2272 

14.1099 

3957 

65 

66 

19.2010 

1936 

17.6509  6433 

16.3104 

9314 

14.1214 

3885 

66 

67 

19.2390 

6606 

17.6786  3917 

16.3306 

5390 

14.1321 

8584 

67 

68 

19.2753 

0101 

17.7048  7125 

16.3496 

7349 

14.1422 

2976 

68 

69 

19.3098 

1048 

17.7297  3579 

16.3676 

1650 

14.1516 

1660 

69 

70 

19.3426 

7665 

17.7533  0406 

16.3845 

4387 

14.1603 

8934 

70 

71 

19.3739 

7776 

17.7756  4366 

16.4005 

1308 

14.1685 

8817 

71 

72 

19.4037 

8834 

17.7968  1864 

16.4155 

7838 

14.1762 

5063 

72 

73 

19.4321 

7937 

17.8168  8970 

16.4297 

9093 

14.1834 

1180 

73 

74 

19.4592 

1845 

1^.8359  1441 

16.4431 

9899 

14.1901 

0449 

74 

75 

19.4849 

6995 

17.8539  4731 

16.4558 

4810 

14.1963 

5933 

75 

76 

19.5094 

9519 

17.8710  4010 

16.4677 

8123 

14.2022 

0498 

76 

77 

19.5328 

5257 

17.8872  4180 

16.4790 

3889 

14.2076 

6821 

77 

78 

19.5550 

9768 

17.9025  9887 

16.4896 

5933 

14.2127 

7403 

78 

79 

19.5762 

8351 

17.9171  5532 

16.4996 

7862 

14.2175 

4582 

79 

80 

19.5964 

6048 

17.9309  5291 

16.5091 

3077 

14.2220 

0544 

80 

81 

19.6156 

7665 

17.9440  3120 

16.5180 

4790 

14.2261 

7331 

81 

82 

19.6339 

7776 

17.9564  2768 

16.5264 

6028 

14.2300 

6851 

82 

83 

19.6514 

0739 

17.9681  7789 

16.5343 

9649 

14.2337 

0889 

83 

84 

19.6680 

0704 

17.9793  1554 

16.5418 

8348 

14.2371 

nil 

84 

85 

19.6838 

1623 

17.9898  7255 

16.5489 

4668 

14.2402 

9076 

85 

86 

19.6988 

7260 

17.9998  7919 

16.5556 

1008 

14.2432 

6239 

86 

87 

19.7132 

1200 

18.0093  6416 

16.5618 

9630 

14.2460 

3962 

87 

88 

19.7268 

6857 

18.0183  5466 

16.5678 

2670 

14.2486 

3516 

88 

89 

19.7398 

7483 

18.0268  7645 

16.5734 

2141 

14.2510 

6089 

89 

90 

19.7522 

6174 

18.0349  5398 

16.5786 

9944 

14.2533 

2794 

90 

91 

19.7640 

5880 

18.0426  1041 

16.5836 

7872 

14.2554 

4667 

91 

92 

19.7752 

9410 

18.0498  6769 

16.5883 

7615 

14.2574 

2680 

92 

93 

19.7859 

9438 

18.0567  4662 

16.5928 

0769 

14.2592 

7738 

93 

94 

19.7961 

8512 

18.0632  6694 

16.5969 

8839 

14.2610 

0690 

94 

95 

19.8058 

9059 

18.0694  4734 

16.6009 

3244 

14.2626 

2327 

95 

96 

19.8151 

3390 

18.0753  0553 

16.6046 

5325 

14.2641 

3390 

96 

97 

19.8239 

3705 

18.0808  5833 

16.6081 

6344 

14.2655 

4570 

97 

98 

19.8323 

2100 

18.0861  2164 

16.61  14 

7494 

14.2668 

6514 

98 

99 

19.8403 

0571 

18.0911  1055 

16.6145 

9900 

14.2680 

9826 

99 

100 

19.8479 

1020 

18.0958  3939 

16.6175 

4623 

14.2692 

5071 

100 

39 


Annuity  Whose  Present  Value  at  Compound  Interest  Is  I 
TABLE  V.  a^  =  i  (l-v") 


n 

1% 

ik% 

t 

1%% 

n 

1 

1.0100  0000 

1.0125  0000 

1.0150 

0000 

1.0175 

0000 

1 

2 

0.5075  1244 

0.5093  9441 

0.51  12 

7792 

0.5131 

6295 

2 

3 

0.3400  221  1 

0.3417  0117 

0.3433 

8296 

0.3450 

6746 

3 

4 

0.2562  8109 

0.2578  6102 

0.2594 

4478 

0.2610 

3237 

4 

5 

0.2060  3980 

0.2075  6211 

0.2090 

8932 

0.2106 

2142 

5 

6 

0.1725  4837 

0.1740  3381 

0.1755 

2521 

0.1770 

2256 

6 

7 

0.1486  2828 

0.1500  8872 

0.1515 

5616 

0.1530 

3059 

7 

8 

0.1306  9029 

0.1321  3314 

0.1335 

8402 

0.1350 

4292 

8 

9 

0.1167  4036 

0.1  181  7055 

0.1  196 

0982 

0.1210 

5813 

9 

10 

0.1055  8208 

0.1070  0307 

0.1084 

3418 

0.1098 

7534 

10 

11 

0.0964  5408 

0.0978  6839 

0.0992 

9384 

0.1007 

3038 

11 

12 

0.0888  4879 

0.0902  5831 

0.0916 

7999 

0.0931 

1377 

12 

13 

0.0824  1482 

0.0838  2100 

0.0852 

4036 

0.0866 

7283 

13 

14  ' 

0.0769  0117 

0.0783  0515 

0.0797 

2332 

0.0811 

5562 

14 

15 

0.0721  2378 

0.0735  2646 

0.0749 

4436 

0.0763 

7739 

15 

16 

0.0679  4460 

0.0693  4672 

0.0707 

6508 

0.0721 

9958 

16 

17 

0.0642  5806 

0.0656  6023 

0.0670 

7966 

0.0685 

1623 

17 

18 

0.0609  8205 

0.0623  8479 

0.0638 

0578 

0.0652 

4492 

18 

19 

0.0580  5175 

0.0594  5548 

0.0608 

7847 

0.0623 

2061 

19 

20 

0.0554  1531 

0.0568  2039 

0.0582 

4574 

0.0596 

9122 

20 

21 

0.0530  3075 

0.0544  3748 

0.0558 

6550 

0.0573 

1464 

21 

22 

0.0508  6372 

0.0522  7238 

0.0537 

0331 

0.0551 

5638 

22 

23 

0.0488  8584 

0.0502  9666 

0.0517 

3075 

0.0531 

8796 

23 

24 

0.0470  7347 

0.0484  8665 

0.0499 

2410 

0.0513 

8565 

24 

25 

0.0454  0675 

0.0468  2247 

0.0482 

6345 

0.0497 

2952 

25 

26 

0.0438  6888 

0.0452  8729 

0.0467 

3196 

0.0482 

0269 

26 

27 

0.0424  4553 

0.0438  6677 

0.0453 

1527 

0.0467 

9079 

27 

28 

0.0411  2444 

0.0425  4863 

0.0440 

0108 

0.0454 

8151 

28 

29 

0.0398  9502 

0.0413  2228 

0.0427 

7878 

0.0442 

6424 

29 

30 

0.0387  4811 

0.0401  7854 

0.0416 

3919 

0.0431 

2975 

30 

31 

0.0376  7573 

0.0391  0942 

0.0405 

7430 

0.0420 

7005 

31 

32 

0.0366  7089 

0.0381  0791 

0.0395 

7710 

0.0410 

7812 

32 

33 

0.0357  2744 

0.0371  6786 

0.0386 

4144 

0.0401 

4779 

33 

34 

0.0348  3997 

0.0362  8387 

0.0377 

6189 

0.0392 

7363 

34 

35 

0.0340  0368 

0.0354  5111 

0.0369 

3363 

0.0384 

5082 

35 

36 

0.0332  1431 

0.0346  6533 

0.0361 

5240 

0.0376 

7507 

36 

37 

0.0324  6805 

0.0339  2270 

0.0354 

1437 

0.0369 

4257 

37 

38 

0.0317  6150 

0.0332  1983 

0.0347 

1613 

0.0362 

4990 

38 

39 

0.0310  9160 

0.0325  5365 

0.0340 

5463 

0.0355 

9399 

39 

40 

0.0304  5560 

0.0319  2141 

0.0334 

2710 

0.0349 

7209 

40 

41 

0.0298  5102 

0.0313  2063 

0.0328 

3106 

0.0343 

8170 

41 

42 

0.0292  7563 

0.0307  4906 

0.0322 

6426 

0.0338 

2057 

42 

43 

0.0287  2737 

0.0302  0466 

0.0317 

2465 

0.0332 

8666 

43 

44 

0.0282  0441 

0.0296  8557 

0.0312 

1038 

0.0327 

7810 

44 

45 

0.0277  0505 

0.0291  9012 

0.0307 

1976 

0.0322 

9321 

45 

46 

0.0272  2775 

0.0287  1675 

0.0302 

5125 

0.0318 

3043 

46 

47 

0.0267  7111 

0.0282  6406 

0.0298 

0342 

0.0313 

8836 

47 

48 

0.0263  3384 

0.0278  3075 

0.0293 

7500 

0.0309 

6569 

48 

49 

0.0259  1474 

0.0274  1563 

0.0289 

6478 

0.0305 

6124 

49 

50 

0.0255  1273 

0.0270  1763 

1   0.0285 

7168 

0.0301 

7391 

50 

40 


Annuity  Whose  Present  Value  at  Compound  Interest  Is  1 

TABLE  V.  a^  =  i/(l-v") 


n 

1  <^ 

1  i^c; 

i-i  /C 

1  Vf" 

^^  ,  c 

1%', 

' 

It 

51 

0.0251 

2680 

0.0266  3571 

0.0281  9469 

0.0298 

0269 

51 

52 

0.0247 

5603 

0.0262  6897 

0.0278  3287 

0.0294 

4665 

52 

53 

0.0243 

9956 

0.0259  1653 

0.0274  8537 

0.0291 

0492 

53 

54 

0.0240 

5658 

0.0255  7760 

0.0271  5138 

0.0287 

7672 

54 

55 

0.0237 

2637 

0.0252  5145 

0.0268  3018 

0.0284 

6129 

55 

56 

0.0234 

0824 

0.0249  3739 

0.0265  2106 

0.0281 

5795 

56 

57 

0.0231 

0156 

0.0246  3478 

0.0262  2341 

0.0278 

6606 

57 

58 

0.0228 

0573 

0.0243  4303 

0.0259  3661 

0.0275 

8503 

58 

59 

0.0225 

2020 

0.0240  6158 

0.0256  6012 

0.0273 

1430 

59 

60 

0.0222 

4445 

0.0237  8993 

0.0253  9343 

0.0270 

5336 

60 

61 

0.0219 

7800 

0.0235  2758 

0.0251  3604 

0.0268 

0172 

61 

62 

0.0217 

2041 

0.0232  7410 

0.0248  8751 

0.0265 

5892 

62 

63 

0.0214 

7125 

0.0230  2904 

0.0246  4741 

0.0263 

2455 

63 

64 

0.0212 

3013 

0.0227  9203 

0.0244  1534 

0.0260 

9821 

64 

65 

0.0209 

9667 

0.0225  6268 

0.0241  9094 

0.0258 

7952 

65 

66 

0.0207 

7052 

0.0223  4065 

0.0239  7386 

0.0256 

6813 

66 

67 

0.0205 

5136 

0.0221  2560 

0.0237  6376 

0.0254 

6372 

67 

68 

0.0203 

3889 

0.0219  1724 

0.0235  6033 

0.0252 

6596 

68 

69 

0.0201 

3280 

0.0217  1527 

0.0233  6329 

0.0250 

7459 

69 

70 

0.0199 

3282 

0.0215  1941 

0.0231  7235 

0.0248 

8930 

70 

71 

0.0197 

3870 

0.0213  2941 

0.0229  8727 

0.0247 

0985 

71 

72 

0.0195 

5019 

0.0211  4501 

0.0228  0779 

0.0245 

3600 

72 

73 

0.0193 

6706 

0.0209  6600 

0.0226  3368 

0.0243 

6750 

73 

74 

0.0191 

8910 

0.0207  9215 

0.0224  6473 

0.0242 

0413 

74 

75 

0.0190 

1609 

0.0206  2325 

0.0223  0072 

0.0240 

4570 

75 

76 

0.0188 

4784 

0.0204  5910 

0.0221  4146 

0.0238 

9200 

76 

77 

0.0186 

8416 

0.0202  9953 

0.0219  8676 

0.0237 

4284 

77 

78 

0.0185 

2488 

0.0201  4435 

0.0218  3645 

0.0235 

9806 

78 

79 

0.0183 

6983 

0.0199  9341 

0.0216  9036 

0.0234 

5748 

79 

80 

0.0182 

1885 

0.0198  4652 

0.0215  4832 

0.0233 

2093 

80 

81 

0.0180 

7179 

0.0197  0356 

0.0214  1019 

0.0231 

8828 

81 

82 

0.0179 

2851 

0.0195  6437 

0.0212  7583 

0.0230 

5936 

82 

83 

0.0177 

8887 

0.0194  2881 

0.0211  4509 

0.0229 

3406 

83 

84 

0.0176 

5273 

0.0192  9675 

0.0210  1784 

0.0228 

1223 

84 

85 

0.0175 

1998 

0.0191  6808 

0.0208  9396 

0.0226 

9375 

85 

86 

0.0173 

9050 

0.0190  4267 

0.0207  7333 

0.0225 

7850 

86 

87 

0.0172 

6417 

0.0189  2041 

0.0206  5584 

0.0224 

6636 

87 

88 

0.0171 

4089 

0.0188  0119. 

0.0205  4138 

0.0223 

5724 

88 

89 

0.0170 

2056 

0.0186  8490 

0.0204  2984 

0.0222 

5102 

89 

90 

0.0169 

0306 

0.0185  7146 

0.0203  2113 

0.0221 

4760 

90 

91 

0.0167 

8832 

0.0184  6076 

0.0202  1516 

0.0220 

4690 

91 

92 

0.0166 

7624 

0.0183  5271 

0.0201  1182 

0.0219 

4882 

92 

93 

0.0165 

6673 

0.0182  4724 

0.0200  1 104 

0.0218 

5327 

93 

94 

0.0164 

5971 

0.0181  4425 

0.0199  1273 

0.0217 

6017 

94 

95 

0.0163 

5511 

0.0180  4366 

0.0198  1681 

0.0216 

6944 

95 

96 

0.0162 

5284 

0.0179  4540 

0.0197  2321 

0.0215 

8101 

96 

97 

0.0161 

5284 

0.0178  4941 

0.0196  3186 

0.0214 

9480 

97 

98 

0.0160 

5503 

0.0177  5560 

0.0195  4268 

0.0214 

1074 

98 

99 

0.0159 

5936 

0.0176  6391 

0.0194  5560 

0.0213 

2876 

99 

100 

0.0158 

6574 

0.0175  7428 

0.0193  7057 

0.0212 

4880 

100 

11 


Annuity  Whose  Present  Value  at  Compound  Interest  Is  1 
TABLE  V.  '         «^'  =  '   (l-O 


n 

2% 

2h% 

2%% 

n 

1 

1.0200 

0000 

1.0225 

0000 

1.0250  0000 

1.0275 

0000 

1 

2 

0.5150 

4950 

0.5169 

3758 

0.5188  2716 

0.5207 

1825 

2 

3 

0.3467 

5467, 

0.3484 

4458 

0.3501  3717 

0.3518 

3243 

3 

4 

0.2626 

2375 

0.2642 

1893 

0.2658  1788 

0.2674 

2059 

4 

5 

0.2121 

5839 

0.2137 

0022 

0.2152  4686 

0.2167 

9832 

5 

6 

0.1785 

2581 

0.1800 

3496 

0.1815  4997 

0.1830 

7083 

6 

7 

0.1545 

1196 

0.1  560 

0025 

0.1574  9543 

0.1589 

9747 

7 

8 

0.1365 

0980 

0.1379 

8462 

0.1394  6735 

0.1409 

5795 

8 

9 

0.1225 

1544 

0.1239 

8170 

0.1254  5689 

0.1269 

4095 

9 

10 

0.1113 

2653 

0.1127 

8768 

0.1142  5876 

0.1  157 

3972 

10 

11 

0.1021 

7794 

0.1036 

3649 

0.1051  0596 

0.1065 

8629 

11 

12 

0.0945 

5960 

0.0960 

1740 

0.0974  8713 

0.0989 

6871 

12 

13 

0.0881 

1835 

0.0895 

7686 

0.0910  4827 

0.0925 

3252 

13 

14 

0.0826 

0197 

0.0840 

6230 

0.0855  3653 

0.0870 

2457 

14 

15 

0.0778 

2547 

0.0792 

8852 

0.0807  6646 

0.0822 

5917 

15 

16 

0.0736 

5013 

0.0751 

1663 

0.0765  9899 

0.0780 

9710 

16 

17 

0.0699 

6984 

0.0714 

4039 

0.0729  2777 

0.0744 

3186 

17 

18 

0.0667 

0210 

0.0681 

7720 

0.0696  7008 

0.071  1 

8063 

18 

19 

0.0637 

8177 

0.0652 

6182 

0.0667  6062 

0.0682 

7802 

19 

20 

0.0611 

5672 

0.0626 

4207 

0.0641  4713 

0.0656 

7173 

20 

21 

0.0587 

8477 

0.0602 

7572 

0.0617  8733 

0.0633 

1941 

21 

22 

0.0566 

3140 

0.0581 

2821 

0.0596  4661 

0.061  1 

8640 

22 

23 

0.0546 

6810 

0.0561 

7097 

0.0576  9638 

0.0592 

4410 

23 

24 

0.0528 

7110 

0.0543 

8023 

0.0559  1282 

0.0574 

6863 

24 

25 

0.0512 

2044 

0.0527 

3599 

0.0542  7592 

0.0558 

3997 

25 

26 

0.0496 

9923 

0.0512 

2134 

0.0527  6875 

0.0543 

41  16 

26 

27 

0.0482 

9309 

0.0498 

2188 

0.0513  7687 

0.0529 

5776 

27 

28 

0.0469 

8967 

0.0485 

2525 

0.0500  8793 

0.0516 

7738 

28 

29 

0.0457 

7836 

0.0473 

2081 

0.0488  9127 

0.0504 

8935 

29 

30 

0.0446 

4992 

0.0461 

9934 

0.0477  7764 

0.0493 

8442 

30 

31 

0.0435 

9635 

0.0451 

5280 

0.0467  3900 

0.0483 

5453 

31 

32 

0.0426 

1061 

0.0441 

7415 

0.0457  6831 

0.0473 

9263 

32 

33 

0.0416 

8653 

0.0432 

5722 

0.0448  5938 

0.0464 

9253 

33 

34 

0.0408 

1867 

0.0423 

9655 

0.0440  0675 

0.0456 

4875 

34 

35 

0.0400 

0221 

0.0415 

8731 

0.0432  0558 

0.0448 

5645 

35 

36 

0.0392 

3285 

0.0408 

2522 

0.0424  5158 

0.0441 

1132 

36 

37 

0.0385 

0678 

0.0401 

0643 

0.0417  4090 

0.0434 

0953 

37 

38 

0.0378 

2057 

0.0394 

2753 

0.0410  7012 

0.0427 

4764 

38 

39 

0.0371 

71  14 

0.0387 

8543 

0.0404  3615 

0.0421 

2256 

39 

40 

0.0365 

5575 

0.0381 

7738 

0.0398  3623 

0.0415 

3151 

40 

41 

0.0359 

7188 

0.0376 

0087 

0.0392  6786 

0.0409 

7200 

41 

42 

0.0354 

1729 

0.0370 

5364 

0.0387  2876 

0.0404 

4175 

42 

43 

0.0348 

8993 

0.0365 

3364 

0.0382  1688 

0.0399 

3871 

43 

44 

0.0343 

8794 

0.0360 

3901 

0.0377  3037 

0.0394 

6100 

44 

45 

0.0339 

0962 

0.0355 

6805 

0.0372  6752 

0.0390 

0693 

45 

46 

0.0334 

5342 

0.0351 

1921 

0.0368  2676 

0.0385 

7493 

46 

47 

0.0330 

1792 

0.0346 

9107 

0.0364  0669 

0.0381 

6358 

47 

48 

0.0326 

0184 

0.0342 

8233 

0.0360  0599 

0.0377 

7158 

48 

49 

0.0322 

0396 

0.0338 

9179 

0.0356  2348 

0.0373 

9773 

49 

50 

0.0318 

2321 

0.0335 

1836 

0.0352  5806 

0.0370 

4092 

50 

42 


Annuity  Whose  Present  Value  at  Compound  Interest  Is  1 
TABLE  V.  a^i  =  r(l-0 


n 

2% 

91  r' 

91  r- 
^  2  '  0 

93,-r- 

n 

51 

0.0314  5856 

0.0331  6102 

0.0349  0870 

0.0367  0014 

51 

52 

0.0311  0909 

0.0328  1884 

0.0345  7446 

0.0363  7444 

52 

53 

0.0307  7392 

0.0324  9094 

0.0342  5449 

0.0360  6297 

53 

54 

0.0304  5226 

0.0321  7654 

0.0339  4799 

0.0357  6491 

54 

55 

0.0301  4337 

0.0318  7489 

0.0336  5419 

0.0354  7953 

55 

56 

0.0298  4656 

0.0315  8530 

0.0333  7243 

0.0352  0612 

56 

57 

0.0295  6120 

0.0313  0712 

0.0331  0204 

0.0349  4404   ] 

57 

58 

0.0292  8667 

0.0310  3977 

0.0328  4244 

0.0346  9270 

58 

59 

0.0290  2243 

0.0307  8268 

0.0325  9307 

0.0344  5153 

59 

60 

0.0287  6797 

0.0305  3533 

0.0323  5340 

0.0342  2002 

60 

61 

0.0285  2278 

0.0302  9724 

0.0321  2294 

0.0339  9767 

61 

62 

0.0282  8643 

0.0300  6795 

0.0319  0126 

0.0337  8402 

62 

63 

0.0280  5848 

0.0298  4704 

0.0316  8790 

0.0335  7866 

63 

64 

0.0278  3855 

0.0296  3411 

0.0314  8249 

0.0333  8118 

64 

65 

0.0276  2624 

0.0294  2878 

0.0312  8463 

0.0331  9120 

65 

66 

0.0274  2122 

0.0292  3070 

0.0310  9398 

0.0330  0837 

66 

67 

0.0272  2316 

0.0290  3955 

0.0309  1021 

0.0328  3236 

67 

68 

0.0270  3173 

0.0288  5500 

0.0307  3300 

0.0326  6285 

68 

69 

0.0268  4665 

0.0286  7677 

0.0305  6206 

0.0324  9955 

69 

70 

0.0266  6765 

0.0285  0458 

0.0303  9712 

0.0323  4218 

70 

71 

0.0264  9446 

0.0283  3816 

0.0302  3790 

0.0321  9048 

71 

72 

0.0263  2683 

0.0281  7728 

0.0300  8417 

0.0320  4420 

72 

73 

0.0261  6454 

0.0280  2169 

0.0299  3568 

0.0319  0311 

73 

74 

0.0260  0736 

0.0278  71 18 

0.0297  9222 

0.0317  6698 

74 

75 

0.0258  5508 

0.0277  2554 

0.0296  5358 

0.0316  3560 

75 

76 

0.0257  0751 

0.0275  8457 

0.0295  1956 

0.0315  0878 

76 

77 

0.0255  6447 

0.0274  4808 

0.0293  8997 

0.0313  8633 

77 

78 

0.0254  2576 

0.0273  1589 

0.0292  6463 

0.0312  6806 

78 

79 

0.0252  9123 

0.0271  8784 

0.0291  4338 

0.0311  5382 

79 

80 

0.0251  6071 

0.0270  6376 

0.0290  2605 

0.0310  4342 

80 

81 

0.0250  3405 

0.0269  4350 

0.0289  1248 

0.0309  3674 

81 

82 

0.0249  1110 

0.0268  2692 

0.0288  0254 

0.0308  3361 

82 

83 

0.0247  9173 

0.0267  1387 

0.0286  9608 

0.0307  3389 

83 

84 

0.0246  7581 

0.0266  0423 

0.0285  9298 

0.0306  3747 

84 

85 

0.0245  6321 

0.0264  9787 

0.0284  9310 

0.0305  4420 

85 

86 

0.0244  5381 

0.0263  9467 

0.0283  9633 

0.0304  5397 

86 

87 

0.0243  4750 

0.0262  9452 

0.0283  0255 

0.0303  6667 

87 

88 

0.0242  4416 

0.0261  9730 

0.0282  1  165 

0.0302  8219 

88 

89 

0.0241  4370 

0.0261  0291 

0.0281  2353 

0.0302  0041 

89 

90 

0.0240  4602 

0.0260  1126 

0.0280  3809 

0.0301  2125 

90 

91 

0.0239  5101 

0.0259  2224 

0.0279  5523 

0.0300  4460 

91 

92 

0.0238  5859 

0.0258  3577 

0.0278  7486 

0.0299  7038 

92 

93 

0.0237  6868 

0.0257  5176 

0.0277  9690 

0.0298  9850 

93 

94 

0.0236  8118 

0.0256  7012 

0.0277  2126 

0.0298  2887 

94 

95 

0.0235  9602 

0.0255  9078 

0.0276  4786 

0.0297  6141 

95 

96 

0.0235  1313 

0.0255  1366 

0.0275  7662 

0.0296  9605 

96 

97 

0.0234  3242 

0.0254  3868 

0.0275  0747 

0.0296  3272 

97 

98 

0.0233  5383 

0.0253  6578 

0.0274  4034 

0.0295  7134 

98 

99 

0.0232  7729 

0.0252  9489 

0.0273  7517 

0.0295  1185 

99 

100 

0.0232  0274 

0.0252  2594 

0.0273  1188 

0.0294  5418 

100 

43 


Annuity  Whose  Present  Value  at  Compound  Interest  Is  1 
TABLE  v.  ^         a^  =  i/(l-vn 


n 

3^ 

c 

3^% 

4% 

4J^% 

n 

1 

1.0300 

0000 

1.0350 

0000 

1.0400 

0000 

1.0450 

0000 

1 

2 

0.5226 

1084 

0.5264 

0049 

0.5301 

9608 

0.5339 

9756 

2 

3 

0.3535 

3036 

0.3569 

3418 

0.3603 

4854 

0.3637 

7336 

3 

4 

0.2690 

2705 

0.2722 

5114 

0.2754 

9005 

0.2787 

4365 

4 

5 

0.2183 

5457 

0.2214 

8137 

0.2246 

2711 

0.2277 

9164 

5 

6 

0.1845 

9750 

0.1876 

6821 

0.1907 

6190 

0.1938 

7839 

6 

7 

0.1605 

0635 

0.1635 

4449 

0.1666 

0961 

0.1697 

0147 

7 

8 

0.1424 

5639 

0.1454 

7665 

0.1485 

2783 

0.1516 

0965 

8 

9 

0.1284 

3386 

0.1314 

4601 

0.1344 

9299 

0.1375 

7447 

9 

10 

0.1172 

3051 

0.1202 

4137 

0.1232 

9094 

0.1263 

7882 

10 

11 

0.1080 

7745 

0.1110 

9197 

0.1141 

4904 

0.1172 

4818 

11 

12 

0.1004 

6209 

0.1034 

8395 

0.1065 

5217 

0.1096 

6619 

12 

13 

0.0940 

2954 

0.0970 

6157 

0.1001 

4373 

0.1032 

7535 

13 

14 

0.0885 

2634 

0.0915 

7073 

0.0946 

6897 

0.0978 

2032 

14 

15 

0.0837 

6658 

0.0868 

2507 

0.0899 

4110 

0.0931 

1381 

15 

16 

0.0796 

1085 

0.0826 

8483 

0.0858 

2000 

0.0890 

1537 

16 

17 

0.0759 

5253 

0.0790 

4313 

0.0821 

9852 

0.0854 

.1758 

17 

18 

0.0727 

0870 

0.0758 

1684 

0.0789 

9333 

0.0822 

3690 

18 

19 

0.0698 

1388 

0.0729 

4033 

0.0761 

3862 

0.0794 

0734 

19 

20 

0.0672 

1571 

0.0703 

6108 

0.0735 

8175 

0.0768 

7614 

20 

21 

0.0648 

7178 

0.0680 

3659 

0.0712 

8011 

0.0746 

0057 

21 

22 

0.0627 

4739 

0.0659 

3207 

0.0691 

9881 

0.0725 

4565 

22 

23 

0.0608 

1390 

0.0640 

1880 

0.0673 

0906 

0.0706 

8249 

23 

24 

0.0590 

4742 

0.0622 

7283 

0.0655 

8683 

0.0689 

8703 

24 

25 

0.0574 

2787 

0.0606 

7404 

0.0640 

1196 

0.0674 

3903 

25 

26 

0.0559 

3829 

0.0592 

0540 

0.0625 

6738 

0.0660 

2137 

26 

27 

0.0545 

6421 

0.0578 

5241 

0.0612 

3854 

0.0647 

1946 

27 

28 

0.0532 

9323 

0.0566 

0265 

0.0600 

1298 

0.0635 

2081 

28 

29 

0.0521 

1467 

0.0554 

4538 

0.0588 

7993 

0.0624 

1461 

29 

30 

0.0510 

1926 

0.0543 

7133 

0.0578 

3010 

0.0613 

9154 

30 

31 

0.0499 

9893 

0.0533 

7240 

0.0568 

5535 

0.0604 

4345 

31 

32 

0.0490 

4662 

0.0524 

4150 

0.0559 

4859 

0.0595 

6320 

32 

33 

0.0481 

5612 

0.0515 

7242 

0.0551 

0357 

0.0587 

4453 

33 

34 

0.0473 

2196 

0.0507 

5966 

0.0543 

1477 

0.0579 

8191 

34 

35 

0.0465 

3929 

0.0499 

9835 

0.0535 

7732 

0.0572 

7045 

35 

36 

0.0458 

0379 

0.0492 

8416 

0.0528 

8688 

0.0566 

0578 

36 

37 

0.0451 

1  162 

0.0486 

1325 

0.0522 

3957 

0.0559 

8402 

37 

38 

0.0444 

5934 

0.0479 

8214 

0.0516 

3192 

0.0554 

0169 

38 

39 

0.0438 

4385 

0.0473 

8775 

0.0510 

6083 

0.0548 

5567 

39 

40 

0.0432 

6238 

0.0468 

2728 

0.0505 

2349 

0.0543 

4315 

40 

41 

0.0427 

1241 

0.0462 

9822 

0.0500 

1738 

0.0538 

6158 

41 

42 

0.0421 

9167 

0.0457 

9828 

0.0495 

4020 

0.0534 

0868 

42 

43 

0.0416 

981  1 

0.0453 

2539 

0.0490 

8989 

0.0529 

8235 

43 

44 

0.0412 

2985 

0.0448 

7768 

0.0486 

6454 

0.0525 

8071 

44 

45 

0.0407 

8518 

0.0444 

5343 

0.0482 

6246 

0.0522 

0202 

45 

46 

0.0403 

6254 

0.0440 

5108 

0.0478 

8205 

0.0518 

4471 

46 

47 

0.0399 

6051 

0.0436 

6919 

0.0475 

2189 

0.0515 

0734 

47 

48 

0.0395 

7777 

0.0433 

0646 

0.0471 

8065 

0.051  1 

8858 

48 

49 

0.0392 

1314 

0.0429 

6167 

0.0468 

5712 

0.0508 

8722 

49 

50 

0.0388 

6550 

0.0462 

3371 

0.0465 

5020 

0.0506 

0215 

50 

44 


Annuity  Whose  Present  Value  at  Compound  Interest  Is  1 
TABLE  V.  aii  =  i  (l-r") 


n 

3% 

sh% 

4% 

^H% 

n 

51 

0.0385  3382 

0.0423  2156 

0.0462  5885 

0.0503  3232 

51 

52 

0.0382  1718   : 

0.0420  2429 

0.0459  8212 

0.0500  7679 

52 

53 

0.0379  1471 

0.0417  4100 

0.0457  1915 

0.0498  3469 

53 

54 

0.0376  2558 

0.0414  7090 

0.0454  6910 

0.0496  0519 

54 

55 

0.0373  4907 

0.0412  1323 

0.0452  3124 

0.0493  8754 

55 

56 

0.0370  8447 

0.0409  6730 

0.0450  0487 

0.0491  8105 

56 

57 

0.0368  3114 

0.0407  3245 

0.0447  8932 

0.0489  8506 

57 

58 

0.0365  8848 

0.0405  0810 

0.0445  8401 

0.0487  9897 

58 

59 

0.0363  5593 

0.0402  9366 

0.0443  8836 

0.0486  2221   i 

59 

60 

0.0361  3296 

0.0400  8862 

1 

0.0442  0185 

0.0484  5426 

60 

61 

0.0359  1908 

0.0398  9249 

0.0440  2398 

0.0482  9462 

61 

62 

0.0357  1385 

0.0397  0480 

0.0438  5430 

0.0481  4284 

62 

63 

0.0355  1682 

0.0395  2513 

0.0436  9237 

0.0479  9848 

63 

64 

0.0353  2760 

0.0393  5308 

0.0435  3780 

0.0478  6115 

64 

65 

0.0351  4581 

0.0391  8826 

0.0433  9019 

0.0477  3047 

65 

66 

0.0349  7110 

0.0390  3031 

0.0432  4921 

0.0476  0608 

66 

67 

0.0348  0313 

0.0388  7892 

0.0431  1451 

0.0474  8765 

67 

68 

0.0346  4159 

0.0387  3375 

0.0429  8578 

0.0473  7487 

68 

69 

0.0344  8618 

0.0385  9453 

0.0428  6272 

0.0472  6745 

69 

70 

0.0343  3663 

0.0384  6095 

0.0427  4506 

0.0471  6511 

70 

71 

0.0341  9266 

0.0383  3277 

0.0426  3253 

0.0470  6759 

71 

72 

0.0340  5404 

0.0382  0973 

0.0425  2489 

0.0469  7465 

72 

73 

0.0339  2053 

0.0380  9160 

0.0424  2190 

0.0468  8606 

73 

74 

0.0337  9191 

0.0379  7816 

0.0423  2334 

0.0468  0159 

74 

75 

0.0336  6796 

0.0378  6919 

0.0422  2900 

0.0467  2104 

75 

76 

0.0335  4849 

0.0377  6450 

0.0421  3869 

0.0466  4422 

76 

77 

0.0334  3331 

0.0376  6390 

0.0420  5221 

0.0465  7094 

77 

78 

0.0333  2224 

0.0375  6721 

0.0419  6939 

0.0465  0104 

78 

79 

0.0332  1510 

0.0374  7426 

0.0418  9007 

0.0464  3434 

79 

80 

0.0331  1175 

0.0373  8489 

0.0418  1408 

0.0463  7069 

80 

81 

0.0330  1201 

0.0372  9894 

0.0417  4127 

0.0463  0995 

81 

82 

0.0329  1576 

0.0372  1628 

0.0416  7150 

0.0462  5197 

82 

83 

0.0328  2284 

0.0371  3676 

0.0416  0463 

0.0461  9663 

83 

84 

0.0327  3313 

0.0370  6025 

0.0415  4054 

0.0461  4379 

84 

85 

0.0326  4650 

0.0369  8662 

0.0414  7909 

0.0460  9334 

85 

86 

0.0325  6284 

0.0369  1576 

0.0414  2018 

0.0460  4516 

86 

87 

0.0324  8202 

0.0368  4756 

0.0413  6370 

0.0459  9915 

87 

88 

0.0324  0393 

0.0367  8190 

0.0413  0953 

0.0459  5522 

88 

89 

0.0323  2848 

0.0367  1868 

0.0412  5758 

0.0459  1325 

89 

90 

0.0322  5556 

0.0366  5781 

0.0412  0775 

0.0458  7316 

90 

91 

0.0321  8508 

0.0365  9919 

0.0411  5995 

0.0458  3486 

91 

92 

0.0321  1694 

0.0365  4273 

0.0411  1410 

0.0457  9827 

92 

93 

0.0320  5107 

0.0364  8834 

0.0410  7010 

0.0457  6331 

93 

94 

0.0319  8737 

0.0364  3594 

0.0410  2789 

0.0457  2991 

94 

95 

0.0319  2577 

0.0363  8546 

0.0409  8738 

0.0456  9799 

95 

96 

0.0318  6619 

0.0363  3682 

0.0409  4850 

0.0456  6749 

96 

97 

0.0318  0856 

0.0362  8995 

0.0409  1119 

0.0456  3834 

97 

98 

0.0317  5281 

0.0362  4478 

0.0408  7538 

0.0456  1048 

98 

99 

0.0316  9886 

0.0362  0124 

0.0408  4100 

0.0455  8385 

99 

100 

0.0316  4667 

0.0361  5927 

0.0408  0800 

0.0455  5839 

100 

45 


Annuity  Whose  Present  Value  at  Compound  Interest  Is  1 

TABLE  V.  ^         a^  =  i/il-vn 


n 

5' 

c 

6'.c- 

7  So 

n 

1 

1.0500 

0000 

1.0550 

0000 

1.0600 

0000 

1.0700 

0000 

1 

2 

0.5378 

0488 

0.5416 

1800 

0.5454 

3689 

0.5530 

9179 

2 

3 

0.3672 

0856 

0.3706 

5407 

0.3741 

0981 

0.3810 

5166 

3 

4 

0.2820 

1183 

0.2852 

9449 

0.2885 

9149 

0.2952 

2812 

4 

5 

0.2309 

7480 

0.2341 

7644 

0.2373 

9640 

0.2438 

9069 

5 

6 

0.1970 

1747 

0.2001 

7895 

0.2033 

6263 

0.2097 

9580 

6 

7 

0.1728 

1982 

0.1759 

6442 

0.1791 

3502 

0.1855 

5322 

7 

8 

0.1547 

2181 

0.1578 

6401 

0.1610 

3594 

0.1674 

6776 

8 

9 

0.1406 

9008 

0.1438 

3946 

0.1470 

2224 

0.1534 

8647 

9 

10 

0.1295 

0458 

0.1326 

6777 

0.1358 

6796 

0.1423 

7750 

10 

11 

0.1203 

8889 

0.1235 

7065 

0.1267 

9294 

0.1333 

5690 

11 

12 

0.1128 

2541 

0.1160 

2923 

0.1192 

7703 

0.1259 

0199 

12 

13 

0.1064 

5577 

0.1096 

8426 

0.1129 

6011 

0.1  196 

5085 

13 

14 

0.1010 

2397 

0.1042 

7912 

0.1075 

8491 

0.1143 

4494 

14 

15 

0.0963 

4229 

0.0996 

2560 

0.1029 

6276 

0.1097 

9462 

15 

16 

0.0922 

6991 

0.0955 

8254 

0.0989 

5214 

0.1058 

5765 

16 

17 

0.0886 

9914 

0.0920 

4198 

0.0954 

4480 

0.1024 

2519 

17 

18 

0.0855 

4622 

0.0889 

1992 

0.0923 

5654 

0.0994 

1260 

18 

19 

0.0827 

4501 

0.0861 

5005 

0.0896 

2086 

0.0967 

5301 

19 

20 

0.0802 

4259 

0.0836 

7933 

0.0871 

8456 

0.0943 

9293 

20 

21 

0.0779 

9611 

0.0814 

6478 

0.0850 

0455 

0.0922 

8900 

21 

22 

0.0759 

7051 

0.0794 

7123 

0.0830 

4557 

0.0904 

0577 

22 

23 

0.0741 

3682 

0.0776 

6965 

0.0812 

7848 

0.0887 

1393 

23 

24 

0.0724 

7090 

0.0760 

3580 

0.0796 

7900 

0.0871 

8902 

24 

25 

0.0709 

5246 

0.0745 

4935 

0.0782 

2672 

0.0858 

1052 

25 

26 

0.0695 

6432 

0.0731 

9307 

0.0769 

0435 

0.0845 

6103 

26 

27 

0.0682 

9186 

0.0719 

5228 

0.0756 

9717 

0.0834 

2573 

27 

28 

0.0671 

2253 

0.0708 

1440 

0.0745 

9255 

0.0823 

9193 

28 

29 

0.0660 

4551 

0.0697 

6857 

0.0735 

7961 

0.0814 

4865 

29 

30 

0.0650 

5144 

0.0688 

0539 

0.0726 

4891 

0.0805 

8640 

30 

31 

0.0641 

3212 

0.0679 

1665 

0.0717 

9222 

0.0797 

9691 

31 

32 

0.0632 

8042 

0.0670 

9519 

0.0710 

0234 

0.0790 

7292 

32 

33 

0.0624 

9004 

0.0663 

3469 

0.0702 

7293 

0.0784 

0807 

33 

34 

0.0617 

5545 

0.0656 

2958 

0.0695 

9843 

0.0777 

9674 

34 

35 

0.0610 

7171 

0.0649 

7493 

0.0689 

7386 

0.0772 

3396 

35 

36 

0.0604 

3446 

0.0643 

6635 

0.0683 

9483 

0.0767 

1531 

36 

37 

0.0598 

3979 

0.0637 

9993 

0.0678 

5743 

0.0762 

3685 

37 

38 

0.0592 

8423 

0.0632 

7217 

0.0673 

5812 

0.0757 

9505 

38 

39 

0.0587 

6462 

0.0627 

7991 

0.0668 

9377 

0.0753 

8676 

39 

40 

0.0582 

7816 

0.0623 

2034 

0.0664 

6154 

0.0750 

0914 

40 

41 

0.0578 

2229 

0.0618 

9090 

0.0660 

5886 

0.0746 

5962 

41 

42 

0.0573 

9471 

0.0614 

8927 

0.0656 

8342 

0.0743 

3591 

42 

43 

0.0569 

9333 

0.061  1 

1337 

0.0653 

3312 

0.0740 

3590 

43 

44 

0.0566 

1625 

0.0607 

6128 

0.0650 

0606 

0.0737 

5769 

44 

45 

0.0562 

6173 

0.0604 

3127 

0.0647 

0050 

0.0734 

9957 

45 

46 

0.0559 

2820 

0.0601 

2175 

0.0644 

1485 

0.0732 

5996 

46 

47 

0.0556 

1421 

0.0598 

3129 

0.0641 

4768 

0.0730 

3744 

47 

48 

0.0553 

1843 

0.0595 

5854 

0.0638 

9766 

0.0728 

3070 

48 

49 

0.0550 

3965 

0.0593 

0230 

0.0636 

6356 

0.0726 

3853 

49 

50 

0.0547 

7674 

0.0590 

6145 

0.0634 

4429 

0.0724 

5985 

50 

10 


Annuity  Whose  Present  Value  at  Compound  Interest  Is  1 


TABLE  V. 


n 

5% 

5^% 

6% 

7% 

n 

51 

0.0545  2867 

"1 

0.0588  3495 

0.0632  3880 

0.0722  9365 

51 

52 

0.0542  9450 

0.0586  2185 

0.0630  4617 

0.0721  3901 

52 

53 

0.0540  7334 

0.0584  2130 

0.0628  6551 

0.0719  9509 

53 

54 

0.0538  6438 

0.0582  3245 

0.0626  9602 

0.0718  6110 

54 

55 

0.0536  6686 

0.0580  5458 

0.0625  3696 

0.0717  3633 

55 

56 

0.0534  8010 

0.0578  8698 

0.0623  8765 

0.0716  201 1 

56 

57 

0.0533  0343 

0.0577  2900 

0.0622  4744 

0.0715  1 183 

57 

58 

0.0531  3626 

0.0575  8006 

0.0621  1574 

0.0714  1093 

58 

59 

0.0529  7802 

0.0574  3959 

0.0619  9200 

0.0713  1689 

59 

60 

0.0528  2818 

0.0573  0707 

0.0618  7572 

0.0712  2923 

60 

61 

0.0526  8627 

0.0571  8202 

0.0617  6642 

0.0711  4749 

61 

62 

0.0525  5183 

0.0570  6400 

0.0616  6366 

0.0710  7127 

62 

63 

0.0524  2442 

0.0569  5258 

0.0615  6704 

0.0710  0019 

63 

64 

0.0523  0365 

0.0568  4737 

0.0614  7615 

0.0709  3388 

64 

65 

0.0521  8915 

0.0567  4800 

0.0613  9066 

0.0708  7203 

65 

66 

0.0520  8057 

0.0566  5413 

0.0613  1022 

0.0708  1431 

66 

67 

0.0519  7757 

0.0565  6544 

0.0612  3454 

0.0707  6046 

67 

68 

0.0518  7986 

0.0564  8163 

0.0611  6330 

0.0707  1021 

68 

69 

0.0517  8715 

0.0564  0242 

0.0610  9625 

0.0706  6331 

69 

70 

0.0516  9915 

0.0563  2754 

0.0610  3313 

0.0706  1953 

70 

71 

0.0516  1563 

0.0562  5675 

0.0609  7370 

0.0705  7866 

71 

72 

0.0515  3633 

0.0561  8982 

0.0609  1774 

0.0705  4051 

72 

73 

0.0514  6103 

0.0561  2652 

0.0608  6505 

0.0705  0490 

73 

74 

0.0513  8953 

0.0560  6665 

0.0608  1542 

0.0704  7164 

74 

75 

0.0513  2161 

0.0560  1002 

0.0607  6867 

0.0704  4060 

75 

76 

0.0512  5709 

0.0559  5645 

0.0607  2463 

0.0704  1160 

76 

77 

0.051 1  9580 

0.0559  0577 

0.0606  8315 

0.0703  8453 

77 

78 

0.0511  3756 

0.0558  5781 

0.0606  4407 

0.0703  5924 

78 

79 

0.0510  8222 

0.0558  1243 

0.0606  0724 

0.0703  3563 

79 

80 

0.0510  2962 

0.0557  6948 

0.0605  7254 

0.0703  1357 

80 

81 

0.0509  7963 

0.0557  2884 

0.0605  3984 

0.0702  9297 

81 

82 

0.0509  321 1 

0.0556  9036 

0.0605  0903 

0.0702  7373 

82 

83 

0.0508  8694 

0.0556  5395 

0.0604  7998 

0.0702  5576 

83 

84 

0.0508  4399 

0.0556  1947 

0.0604  5261 

0.0702  3897 

84 

85 

0.0508  0316 

0.0555  8683 

0.0604  2681 

0.0702  2329 

85 

86 

0.0507  6433 

0.0555  5593 

0.0604  0249 

0.0702  0863 

86 

87 

0.0507  2740 

0.0555  2667 

0.0603  7956 

0.0701  9495 

87 

88 

0.0506  9228 

0.0554  9896 

0.0603  5795 

0.0701  8216 

88 

89 

0.0506  5888 

0.0554  7273 

0.0603  3757 

0.0701  7021 

.   89 

90 

0.0506  271  1 

0.0554  4788 

0.0603  1836 

0.0701  5905 

90 

91 

0.0505  9689 

0.0554  2435 

0.0603  0025 

0.0701  4863 

91 

92 

0.0505  6815 

0.0554  0207 

0.0602  8318 

0.0701  3888 

92 

93 

0.0505  4080 

0.0553  8096 

0.0602  6708 

0.0701  2978 

83 

94 

0.0505  1478 

0.0553  6097 

0.0602  5190 

0.0701  2128 

94 

95 

0.0504  9003 

0.0553  4204 

0.0602  3758 

0.0701  1333 

95 

96 

0.0504  6648 

0.0553  2410 

0.0602  2408 

0.0701  0590 

96 

97 

0.0504  4407 

0.0553  071  1 

0.0602  1 135 

0.0700  9897 

97 

98 

0.0504  2274 

0.0552  9101 

0.0601  9935 

0.0700  9248 

98 

99 

0.0504  0245 

0.0552  7577 

0.0601  8803 

0.0700  8643 

99 

100 

0.0503  8314 

0.0552  6132 

0.0601  7736 

0.0700  8076 

.100 

47 


Amount  of  1  at  Compound  Interest  for  Fractional  Periods 

TABLE  VI.  (l+i)i  > 


p 

1% 

ih7o 

ih% 

l%Sc         P 

2 
3 
4 

6 
12 
13 

26 
52 

1.0049  8756 
1.0033  2228 
1.0024  9068 

1  .0016  5977 
1.0008  2954 
1.0007  6570 

1.0003  8278 
1.0001  9137 

1.0062  3059 
1.0041  4943 
1.0031  1046 

1.0020  7257 
1.0010  3575 
1.0009  5604 

1.0004  7790 
1.0002  3892 

1.0074  7208 
1.0049  7521 
1.0037  2909 

1.0024  8452 
1.0012  4149 
1.0011  4594 

1.0005  7280 
1.0002  8636 

1.0087  1205 
1.0057  9963 
1.0043  4658 

1.0028  9562 
1.0014  4677 
1.0013  3540 

1.0006  6748 
1.0003  3368 

2 
3 
4 

6 
12 
13 

26 
52 

P 

2% 

2h% 

2h7o 

2%%        P 

2 
3 
4 

6 
12 
13 

26 
52 

1.0099  5050 
1.0066  2271 
1.0049  6293 

1.0033  0589 
1.0016  5158 
1.0015  2444 

1.0007  6193 
1.0003  8089 

1.0111  8742 
1.0074  4444 
1.0055  7815 

1.0037  1532 
1.0018  5594 
1.0017  1305 

1.0008  5616 
1.0004  2799 

1.0124  2284 
1.0082  6484 
1.0061  9225 

1.0041  2392 
1.0020  5984 
1.0019  0124 

1.0009  5017 
1.0004  7497 

1.0136  5675       2 
1.0090  8390       3 
1.0068  0522       4 

1.0045  3168       6 
1.0022  6328      12 
1.0020  8900      13 

1.0010  4396      26 
1.0005  2184      52 

P 

3% 

sh% 

4% 

^h% 

P 

2 
3 
4 

6 
12 
13 

26 
52 

1.0148  8916 
1.0099  0163 
1.0074  1707 

1.0049  3862 
1.0024  6627 
1.0022  7634 

1.001 1  3752 
1.0005  6860 

1.0173  4950 
1.01 15  3314 
1.0086  3745 

1.0057  5004 
1.0028  7090 
1.0026  4977 

1.0013  2401 
1.0006  6179 

1.0198  0390 
1.0131  5941 
1.0098  5341 

1.0065  5820 
1.0032  7374 
1.0030  2153 

1.0015  0963 
1.0007  5453 

1.0222  5242 
1.0147  8046 
1.01 10  6499 

1.0073  6312 
1.0036  7481 
1.0033  9165 

1.0016  9439 
1.0008  4684 

2 
3 
4 

6 
12 
13 

26 
52 

P 

5% 

5^% 

6% 

-!% 

P 

2 

3 

4 

6 
12 
13 

26 
52  . 

1.0246  9508 
1.0163  9636 
1.0122  7224 

1.0081  6485 
1.0040  7412 
1.0037  6014 

1.0018  7831 
1.0009  3871 

1.0271  3193 
1.0180  0713 
1.0134  7518 

1.0089  6340 
1.0044  7170 
1.0041  2701 

1.0020  6138 
1.0010  3016 

1.0295  6302 
1.0196  1282 
1.0146  7385 

1.0097  5880 
1.0048  6755 
1.0044  9228 

1.0022  4363 
1.001 1  2118 

1.0344  0804 
1.0228  0912 
1.0170  5853 

1.0113  4026 
1.0056  5415 
1.0052  1808 

1.0026  0564 
1.0013  0197 

2 

3 

4 

6 
12 
13 

26 
52 

Logarithm  of  Amount  of  1  at  Compountl  Interest 
for  Fraetional  Periods 


TABLE  ML 


log  {i+ty^p 


p 

I'o 

1  V  ' 

1  1    ( ' 
A  2  C 

1%% 

P 

2 

.002  1607 

.002  6975 

.003  2330 

.003  7672 

2 

3 

.001  4405 

.001  7983 

.002  1553 

.002  5115 

3 

4 

.001  0803 

.001  3488 

.001  6165 

.001  8836 

4 

6 

.000  7202 

.000  8992 

.001  0777 

.001  2557 

6 

12 

.000  3601 

.000  4496 

.000  5388 

.000  6279 

12 

13 

.000  3324 

.000  4150 

.000  4974 

.000  5796 

13 

26 

.000  1662 

.000  2075 

.000  2487 

.000  2898 

1 

26 

52 

.000  0831 

.000  1038 

.000  1243 

.000  1449 

52 

P 

2% 

2h% 

^-^  /o 

2%% 

j 

P 

2 

.004  3001 

.004  8317 

.005  3619 

.005  8909 

2 

3 

.002  8667 

.003  2211 

.003  5746 

.003  9273 

3 

4 

.002  1500 

.002  4158 

.002  6810 

.002  9455 

4 

6 

.001  4334 

.001  6106 

.001  7873 

.001  9636 

6 

12 

.000  7167 

.000  8053 

.000  8937 

.000  9818 

12 

13 

.000  6616 

.000  7433 

.000  8249 

.000  9063 

13 

26 

.000  3308 

.000  3717 

.000  4125 

.000  4531 

26 

52 

.000  1654 

.000  1858 

.000  2062 

.000  2266 

52 

P 

3% 

3^% 

4% 

^h% 

P 

2 

.006  4186 

.007  4702 

.008  5167 

.009  5581 

2 

3 

.004  2791 

.004  9801 

.005  6778 

.006  3721 

3 

4 

.003  2093 

.003  7351 

.004  2583 

.004  7791 

4 

6 

.002  1395 

.002  4901 

.002  8389 

.003  1860 

6 

12 

.001  0698 

.001  2450 

.001  4194 

.001  5930 

12 

13 

.000  9875 

.001  1493 

.001  3103 

.001  4705 

13 

26 

.000  4937 

.000  5746 

.000  6551 

.000  7352 

26 

52 

.000  2469 

.000  2873 

.000  3276 

.000  3676 

52 

P 

5% 

5h% 

6% 

7% 

P 

2 

.010  5946 

.011  6262 

.012  6529 

.014  6919 

2 

3 

.007  0631 

.007  7508 

.008  4353 

.009  7946   • 

3 

4 

.005  2973 

-.005  8131 

.006  3265 

.007  3459 

4 

6 

.003  5315 

.003  8754 

.004  2176 

.004  8973 

6 

12 

.001  7658 

.001  9377 

.002  1088 

.002  4486 

12 

13 

.001.  6299 

.001  7887 

.001  9466 

.002  2603 

13 

26 

.000  8150 

.000  8943 

.000  9733 

.001  1301 

26 

.52 

.000  4075 

.000  4472 

.000  4867 

.000  5651 

52 

19 


Nominal  Rate  of  Interest  y  with  Frequency  of  Conversion  p 
Corresponding  to  Effective  Rate  of  Interest  i 


TABLE  VIII. 


j;„.=p[(l+')''^-l] 


p 

1% 

ih% 

ih'c 

1  3,r  • 

P 

2 
3 
4 

6 
12 
13 

26 
52 

CO 

.0099  7512 
.0099  6685 
.0099  6272 

.0099  5859 
.0099  5446 
.0099  5414 

.0099  5224 
.0099  5128 
.0099  5033 

.0124  6118 
.0124  4828 
.0124  4183 

.0124  3539 
.0124  2895 
.0124  2846 

.0124  2549 
.0124  2400 
.0124  2252 

.0149  4417 
.0149  2562 
.0149  1636 

.0149  0710 
.0148  9785 
.0148  9714 

.0148  9288 
.0148  9074 
.0148  8861 

.0174  2410 
.0173  9890 
.0173  8631 

.0173  7374 
.0173  6119 
.0183  6022 

.0173  5443   : 
.0173  5153 
.0173  4864 

2 
3 
4 

6 
12 
13 

26 
52 

CO 

p 

2% 

2h% 

2H% 

2%% 

p 

2 
3 
4 

6 
12 
13 

26 
52 

CO 

.0199  0099 
.0198  6813 
.0198  5173 

.0198  3534 
.0198  1898 
.0198  1772 

.0198  1017 
.0198  0640 
.0198  0263 

.0223  7484 
.0223  3333 
.0223  1261 

.0222  9192 
.0222  7125 
.0222  6966 

.0222  6013 
.0222  5537 
.0222  5061 

.0248  4567 
.0247  9451 
.0247  6899 

.0247  4349 
.0247  1804 
.0247  1608 

.0247  0434 
.0246  9848 
.0246  9261 

.0273  1349 
.0272  5170 
.0272  2087 

.0271  9009 
.0271  5936 
.0271  5699 

.0271  4283 
.0271  3575 
.0271  2867 

2 
3 
4 

6 
12 
13 

26 
52 

CO 

p 

3% 

sh% 

4% 

^h% 

P 

2 
3 
4 

6 
12 
13 

26 
52 

CO 

.0297  7831 
.0297  0490 
.0296  6829 

.0296  3173 
.0295  9524 
.0295  9243 

.0295  7561 
.0295  6721 
.0295  5880 

.0346  9899 
.0345  9943 
.0345  4978 

.0345  0024 
.0344  5078 
.0344  4698 

.0344  2420 
.0344  1281 
.0344  0143 

.0396  0781 
.0394  7821 
.0394  1363 

.0393  4918 
.0392  8488 
.0392  7994 

.0392  5031 
.0392  3551 
.0392  2071 

.0445  0483 
.0443  4138 
.0442  5996 

.0441  7874 
.0440  9771 
.0440  9149 

.0440  5417 
.0040  3552 
.0440  1689 

2 
3 
4 

6 
12 
13 

ae 

52 

CO 

p 

5% 

5h% 

6% 

7% 

p 

2 
3 

4 

6 
12 
13 

26 
52 

CO 

.0493  9015 
.0491  8907 
.0490  8894 

.0489  8908 
.0488  8949 
.0488  8184 

.0488  3597 
.0488  1306 
.0487  9016 

.0542  6386 
.0540  2139 
.0539  0070 

.0537  8036 
.0536  6039 
.0536  5117 

.0535  9593 
.0535  6834 
.0535  4077 

.0591  2603 
.0588  3847 
.0586  9538 

.0585  5277 

.0584  1061 
.0583  9969 

.0583  3425 
.0583  0157 
.0582  6891 

.0688  1609 
.0684  2737 
.0682  3410 

.0680  4156 
.0678  4974 
.0678  3502 

.0677  4676 
.0677  0268 
.0676  5865 

2 
3 
4 

6 
12 

13 

26 
52 

CO 

.')(! 


Logarithm  of  Nominal  Rate  of  Interest  j  with  Frequency  of 
Conversion  p  Corresponding  to  Effective  Rate  of  Interest  i 

TABLE  IX.  ^^SJ{p) 


p 

IVc 

ihVc 

ih% 

1%% 

P 

2 

7.998  9183 

8.095  5592 

8.174  4717 

8.241  1504 

2 

3 

7.998  5579 

8.095  1092 

8.173  9323 

8.240  5217 

3 

4 

7.998  3778 

8.094  8843 

8.173  6627 

8.240  2075 

4 

6 

7.998  1977 

8.094  6594 

8.173  3932 

8.239  8934 

6 

12 

7.998  0176 

8.094  4345 

8.173  1237 

8.239  5794 

12 

13 

7.998  0037 

8.094  4172 

8.173  1029 

8.239  5552 

13 

26 

7.997  9206 

8.094  3135 

8.172  9786 

8.239  4103 

26 

52 

7.997  8791 

8.094  2616 

8.172  9164 

8.239  3378 

52 

cc 

7.997  8375 

8.094  2097 

8.172  8542 

8.239  2654 

CO 

p 

2% 

2h% 

2h% 

2%% 

p 

2 

8.298  8746 

8.349  7600 

8.395  2508 

8.436  3772 

2 

3 

8.298  1570 

8.348  9535 

8.394  3556 

8.435  3936 

3 

4 

8.297  7983 

8.348  5504 

8.393  9082 

8.434  9020 

4 

6 

8.297  4397 

8.348  1474 

8.393  4610 

8.434  4107 

6 

12 

8.297  0812 

8.347  7446 

8.393  0139 

8.433  9195 

12 

13 

8:297  0536 

8.347  7136 

8.392  9796 

8.433  8817 

13 

26 

8.296  8882 

8.347  5277 

8.392  7733 

8.433  6550 

26 

52 

8.296  8055 

8.347  4348 

8.392  6702 

8.433  5418 

52 

oz 

8.296  7228 

8.347  3419 

8.392  5670 

8.433  4285 

CO 

p 

3% 

sh% 

4%' 

4^% 

p 

2 

8.473  9000 

8.540  3169 

8.597  7808 

8.648  4071 

2 

3 

8.472  8281 

8.539  0689 

8.596  3575 

8.646  8093 

3 

4 

8.472  2925 

8.538  4453 

8.595  6464 

8.646  0110 

4 

6 

8.471  7570 

8.537  8221 

8.594  9357 

8.645  2133 

6 

12 

8.471  2219 

8.537  1991 

8.594  2254 

8.644  4160 

12 

13 

8.471  1806 

8.537  1512 

8.594  1708 

8.644  3548 

13 

26 

8.470  9337 

8.536  8639 

8.593  8431 

8.643  9870 

26 

52 

8.470  8103 

8.536  7201 

8.593  6793 

8.643  8031 

52 

CC 

8.470  6868 

8.536  5765 

8.593  5155 

8.643  6194 

CO 

p 

5% 

oH% 

6% 

7% 

p 

2 

8.693  6404 

8.734  5107 

8.771  7787 

8.837  6900 

2 

r^ 

8.691  8686 

8.732  5658 

8.769  6614 

8.835  2298 

3 

8.690  9836 

8.731  5944 

8.768  6040 

8.834  0015 

4 

6 

8.690  0993 

8.730  6237 

8.767  5474 

8.832  7743 

6 

12 

8.689  2155 

8.729  6538 

8.766  4917 

8.831  5482 

12 

13 

8.689  1475 

8.729  5792 

8.766  4105 

8.831  4540 

13 

26 

8.688  7398 

8.729  1318 

8.765  9236 

8.830  8885 

26 

52 

8.688  5360 

8.728  9082 

8.765  6803 

8.830  6059 

52 

.-V-' 

8.688  3323 

8.728  6846 

8.7&5  4369 

8.830  3233 

>-^^ 
V-** 

51 


Amount  at  End  of  Year  at  Compound  Interest  of  p  Installments 
Each  of  1  p  Deposited  at  End  of  Each  pth  Part  of  Year 

TABLE  X.  ^'^  =  i'J(p) 


p 

1% 

ih% 

ih%                 1%% 

P 

2 
3 
4 

6 
12 

13 

26 
52 

CO 

1.0024  9378 
1.0033  2596 
1.0037  4223 

1.0041  5861 

1.0045  7510 

1.0046  0714 

1.0047  9941 

1.0048  9556 

1.0049  9171 

1.0031  1529 
1.0041  5516 
1.0046  7537 

1.0051  9575 
1.0057  1632 
1.0057  5637 

1.0059  9669 

1.0061  1687 

1.0062  3706 

1 
1.0037  3604 
1.0049  8346 
1.0056  0755 

1.0062  3191 

1.0068  5652 

1.0069  0458 

1.0071  9296 

1.0073  3717 

1.0074  8139 

1.0043  5603 
1.0058  1084 
1.0065  3878 

1.0072  6707 

1.0079  9571 

1.0080  5177 

1.0083  8820 
1.0085  5644 
1.0087  2470 

2 

3 
4 

6 
12 
13 

26 
52 

P 

2% 

2k7c 

2h% 

^^  /C 

P 

2 
3 
4 

6 
12 
13 

26 
52 

CO 

1.0049  7525 
1.0066  3733 
1.0074  6906 

1.0083  0125 
1.0091  3389 
1.0091  9796 

1.0095  8243 
1.0097  7470 
1.0099  6700 

1.0055  9371 
1.0074  6292 
1.0083  9839 

1.0093  3444 

1.0102  7107 

1.0103  4314 

1.0107  7565 
1.0109  9195 
1.0112  0828 

1.0062  1142 
1.0082  8761 
1.0093  2677 

1.0103  6665 
1.0114  0725 
1.0114  8732 

1.0119  6786 
1.0122  0819 
1.0124  4856 

1.0068  2837 
1.0091  1141 
1.0102  5422 

1.0113  9789 

1.0125  4243 

1.0126  3051 

1.0131  5908 
1.0134  2343 
1.0136  8783 

2 

3 

4 

6 
12 
13 

26 
52 

CO 

p 

3%                           3J,9c 

■I'c 

4J^ff        P 

2 
3 

4 

6 
12 
13 

26 
52 

CO 

1.0074  4458 
1.0099  3431 
1.011 1  8072 

1.0124  2816 

1.0136  7662 

1.0137  7270 

1.0143  4929 
1.0146  3767 
1.0149  2610 

1.0086  7475 
1.0115  7748 
1.0130  3094 

1.0144  8578 

1.0159  4203 

1.0160  5410 

1.0167  2674 
1.0170  6316 
1.0173  9966 

1.0099  0195 
1.0132  1713 
1.0148  7744 

1.0165  3957 

1.0182  0351 

1.0183  3158 

1.0191  0023 
1.0194  8470 
1.0198  6927 

1.0111  2621       2 
1.0148  5328       3 
1.0167  2026       4 

1.0185  8953       6 
1.0204  6109      12 
1.0206  0515      13 

1.0214  6980      26 
1.0219  0231      52 
1.0223  3494      OZ 

P 

5% 

5J^% 

6% 

7%      [  P 

2 
3 
4 

6 
12 
13 

26 
52 

CO 

1.0123  4754 
1.0164  8597 
1.0185  5942 

1.0206  3570 

1.0227  1479 

1.0228  7484 

1.0238  3548 
1.0243  1602 
1.0247  9672 

1.0135  6596 
1.0181  1522 
1.0203  9495 

1.0226  7810 
1.0249  6465 
1.0251  4068 

1.0261  9729 
1.0267  2586 
1.0272  5462 

1.0147  8151 
1.0197  4104 
1.0222  2688 

1.0247  1676 
1.0272  1070 
1.0274  0270 

1.0285  5526 
1.0291  3186 
1.0297  0867 

1.0172  0402      2 
1.0229  8254       3 
1.0258  8002       4 

1.0287  8298       6 
1.0316  9143      12 
1.0319  1538      13 

1.0332  5978      26 
1.0339  3242      52 
1.0346  0535      CO 

Logarithm  of  Amount  at  End  of  Year  at  Compound  Interest  of  p 
Installments  Each  of  1  p  Deposited  at  End  of  Eachpth  Part  of  Year 


TABLE  XL 


log  s 


(p) 


p 

1% 

1  J  <  ' 

^4.  /O 

1  VC7 

A^  /O 

1%% 

P 

z 

.001  0817 

.001  3509 

.001  6195 

.001  8877 

2 

3 

.001  4421 

.001  8008 

.002  1589 

.002  5163 

3 

4 

.001  6222 

.002  0258 

.002  4285 

.002  8305 

4 

6 

.001  8023 

.002  2506 

.002  6981 

.003  1446 

6 

12 

.001  9824 

.002  4755 

.002  9676 

.003  4587 

12 

13 

.001  9963 

.002  4928 

.002  9883 

.003  4828 

13 

26 

.002  0794 

.002  5966 

.003  1 127 

.003  6278 

26 

52 

.002  1209 

.002  6484 

.003  1749 

.003  7002 

52 

CO 

.002  1625 

.002  7003 

.003  2370 

.003  7727 

CO 

P 

2% 

2H% 

2H% 

2%% 

p 

2 

.002  1554 

.002  4225 

.002  6892 

.002  9554 

2 

3 

.002  8730 

.003  2291 

.003  5844 

.003  9391 

3 

4 

.003  2317 

.003  6321 

.004  0318 

.004  4307 

4 

6 

.003  5903 

.004  0351 

.004  4790 

.004  9220 

6 

12 

.003  9488 

.004  4379 

.004  9261 

.005  4132 

12 

13 

.003  9764 

.004  4689 

.004  9604 

.005  4510 

13 

26 

.004  1418 

.004  6548 

.005  1667 

.005  6776 

26 

52 

.004  2245 

.004  7477 

.005  2698 

.005  7909 

52 

CO 

.004  3072 

.004  8406 

.005  3730 

.005  9042 

CO 

p 

3% 

sh% 

4% 

4^% 

p 

2 

.003  2212 

.003  7511 

.004  2792 

.004  8054 

2 

3 

.004  2931 

.004  9991 

.005  7025 

.006  4033 

3 

4 

.004  8288 

.005  6227 

.006  4136 

.007  2015 

4 

6 

.005  3642 

.006  2460 

.007  1243 

.007  9992 

6 

12 

.005  8994 

.006  8689 

.007  8346 

.008  7965 

12 

13 

.005  9406 

.006  9168 

.007  8892 

.008  8578 

13 

26 

.006  1875 

.007  2042 

.008  2169 

.009  2255 

26 

52 

.006  3110 

.007  3479 

.008  3807 

.009  4094 

52 

CO 

.006  4344 

.007  4916 

.008  5445 

.009  5932 

CO 

P 

nor 
o  /o 

5^% 

6% 

7% 

p 

2 

.005  3296 

.005  8520 

.006  3725 

.007  4081 

2 

3 

.007  1014 

.007  7969 

.008  4899 

.009  8682 

3 

4 

.007  9864 

.008  7683 

.009  5473 

.011  0966 

4 

6 

.008  8708 

.009  7390 

.010  6038 

.012  3238 

6 

12 

.009  7545 

.010  7089 

.011  6595 

.013  5498 

12 

13 

.009  8225 

.010  7835 

.011  7407 

.013  6441 

13 

26 

.010  2302 

.011  2309 

.012  2276 

.014  2095 

26 

52 

.010  4340 

.01  1  4545 

.012  4710 

.014  4922 

52 

CO 

.010  6377 

.01 1  6781 

.012  7144 

.014  7747 

CO 

53 


Logarithm  of  Amount  of  1  at  Compound  Interest 


TABLE  XIL 


los  (1  +  i)" 


n 

1% 

ik% 

ih% 

1%% 

n 

1 

.004  3214 

.005  3950 

.006  4660 

.007  5344 

1 

2 

.008  6427 

.010  7901 

.012  9321 

.015  0688 

2 

3 

.012  9641 

.016  1851 

.019  3981 

.022  6033 

3 

4 

.017  2855 

.021  5801 

.025  8642 

.030  1377 

4 

5 

.021  6069 

.026  9752 

.032  3302 

.037  6721 

5 

6 

.025  9282 

.032  3702 

.038  7963 

.045  2065 

6 

7 

.030  2496 

.037  7652 

.045  2623 

.052  7409 

7 

8 

.034  5710 

.043  1603 

.051  7283 

.060  2753 

8 

9 

.038  8924 

.048  5553 

.058  1944 

.067  8098 

9 

10 

.043  2137 

.053  9504 

.064  6604 

.075  3442 

10 

11 

.047  5350 

.059  3454 

.071  1265 

.082  8786 

11 

12 

.051  8565 

.064  7404 

.077  5925 

.090  4130 

12 

13 

.056  1779 

.070  1354 

.084  0585 

.097  9474 

13 

14 

.060  4992 

.075  5304 

.090  5246 

.105  4819 

14 

15 

.064  8206 

.080  9255 

.096  9906 

.113  0163 

15 

16 

.069  1420 

.086  3205 

.103  4567 

.120  5507 

16 

17 

.073  4634 

.091  7155 

.109  9227 

.128  0851 

17 

18 

.077  7847 

.097  1106 

.116  3888 

.135  6195 

18 

19 

.082  1061 

.102  5056 

.122  8548 

.143  1539 

19 

20 

.086  4275 

.107  9006 

.129  3208 

.150  6884 

20 

21 

.090  7488 

.113  2957 

.135  7869 

.158  2228 

21 

22 

.095  0702 

.118  6907 

.142  2529 

.165  7572 

22 

23 

.099  3916 

.124  0857 

.148  7190 

.173  2916 

23 

24 

.103  7130 

.129  4808 

.155  1850 

.180  8260 

24 

25 

.108  0343 

.134  8758 

.161  6511 

.188  3604 

25 

26 

.112  3557 

.140  2708 

.168  1171 

.195  8949 

26 

27 

.1 16  6771 

.145  6659 

.174  5831 

.203  4293 

27 

28 

.120  9985 

.151  0609 

.181  0492 

.210  9637 

28 

29 

.125  3198 

.156  4559 

.187  5152 

.218  4981 

29 

30 

.129  6412 

.161  8510 

.193  9813 

.226  0325 

30 

31 

.133  9626 

.167  2460 

.200  4473 

.233  5670 

31 

32 

.138  2840 

.172  6410 

.206  9134 

.241.1014 

32 

33 

.142  6053 

.178  0361 

.213  3794 

.248  6358 

33 

34 

.146  9267 

.183  4311 

.219  8454 

.256  1702 

34 

35 

.151  2481 

.188  8261 

.226  3115 

.263  7046 

35 

36 

.155  5695 

.194  2211 

.232  7775 

.271  2390 

36 

37 

.159  8908 

.199  6162 

.239  2436 

.278  7735 

37 

38 

.164  2122 

.205  0112 

.245  7096 

.286  3079 

38 

39 

.168  5336 

.210  4062 

.252  1756 

.293  8423 

39 

40 

.172  8550 

.215  8013 

.258  6417 

.301  3767 

40 

41 

.177  1763 

.221  1963 

.265  1077 

.308  91 1 1 

41 

42 

.181  4977 

.226  5913 

.271  5738 

.316  4456 

42 

43 

.185  8191 

.231  9864 

.278  0398 

.323  9800 

43 

44 

.190  1404 

.237  3814 

.284  5059 

.331  5144 

44 

45 

.194  4618 

.242  7764 

.290  9719 

.339  0488 

45 

46 

.198  7832 

.248  1715 

.297  4379 

.346  5832 

46 

47 

.203  1046 

.253  5665 

.303  9040 

.354  1  176 

47 

48 

.207  4259 

.258  9615 

.310  3700 

.361  6521 

48 

49 

.211  7473 

.264  3566 

.316  8361 

.369  1865 

49 

50 

.216  0687 

.269  7516 

.323  3021 

.376  7209 

50 

54 


Logarithm  of  Amount  of  1  at  Compound  Interest 


TABLE  XIL 

log   (1+i)" 

n 

1% 

ih7c 

1 1  (  - 

i-2  ,C 

1%% 

n 

51 

.220  3901 

.275  1466 

.329  7682 

.384  2553 

51 

52 

.224  71 14 

.280  5417 

.336  2342 

.391  7897 

52 

53 

.229  0328 

.285  9367 

.342  7002 

.399  3241   1 

53 

54, 

.233  3542 

.291  3317 

.349  1663 

.406  8586 

54 

55 

.237  6756 

.296  7268 

.355  6323 

.414  3930 

55 

56 

.241  9969 

.302  1218 

.362  0984 

.421  9274 

56 

57 

.246  3183 

.307  5168 

.368  5644 

.429  4618 

57 

58 

.250  6397 

.312  9118 

.375  0304 

.436  9962   ' 

58 

59 

.254  961 1 

.318  3069 

.381  4965 

.444  5307 

59 

60 

.259  2824 

.323  7019 

.387  9625 

.452  0651 

60 

61 

.263  6038 

.329  0969 

.394  4286 

.459  5995 

61 

62 

.267  9252 

.334  4920 

.400  8946 

.467  1339 

62 

63 

.272  2465 

.339  8870 

.407  3607 

.474  6683 

63 

64 

.276  5679 

.345  2820 

.413  8267 

.482  2027 

64 

65 

.280  8893 

.350  6771 

.420  2927 

.489  7372 

65 

66 

.285  2107 

.356  0721 

.426  7588 

.497  2716 

66 

67 

.289  5320 

.361  4671 

.433  2248 

.504  8060 

67 

68 

.293  8534 

.366  8622 

.439  6909 

.512  3404 

68 

69 

.298  1748 

.372  2572 

.446  1569 

.519  8748 

69 

70 

.302  4962 

.377  6522 

.452  6230 

.527  4093 

70 

71 

.306  8175 

.383  0473 

.459  0890 

.534  9437 

71 

72 

.311  1389 

.388  4423 

.465  5550 

.542  4781 

72 

73 

.315  4603 

.393  8373 

.472  0211 

.550  0125 

73 

74 

.319  7817 

.399  2324 

.478  4871 

.557  5469 

74 

75 

.324  1030 

.404  6274 

.484  9532 

.565  0813 

75 

76 

.328  4244 

.410  0224 

.491  4192 

.572  6158 

76 

77 

.332  7458 

.415  4175 

.497  8852 

.580  1502 

77 

78 

.337  0672 

.420  8125 

.504  3513 

.587  6846 

78 

79 

.341  3887 

.426  2075 

.510  8173 

.595  2190 

79 

80 

.345  7099 

.431  6026 

.517  2834 

.602  7534 

80 

81 

.350  0313 

.436  9976 

.523  7494 

.610  2878 

81 

82 

.354  3527 

.442  3926 

.530  2155 

.617  8223 

82 

83 

.358  6740 

.447  7876 

.536  6815 

.625  3567 

83 

84 

.362  9954 

.453  1827 

.543  1475 

.632  8911 

84 

85 

.367  3168 

.458  5777 

.549  6136 

.640  4255 

85 

86 

.371  6381 

.463  9727 

.556  0796 

.647  9599 

86 

87 

.375  9595 

.469  3678 

.562  5457 

.655  4944 

87 

88 

.380  2809 

.474  7628 

.569  01 17 

.663  0288 

88 

89 

.384  6023 

.480  1578 

.575  4778 

.670  5632 

89 

90 

.388  9237 

.485  5529 

.581  9438 

.678  0976 

90 

91 

.393  2450 

.490  9479 

.588  4098 

.685  6320 

91 

92 

.397  5664 

.496  3429 

.594  8759 

.693  1664 

92 

93 

.401  8878 

.501  7380 

.601  3419 

.700  7009 

93 

94 

.406  2091 

.507  1330 

.607  8080 

.708  2353 

94 

95 

.410  5305 

.512  5280 

.614  2740 

.715  7697 

95 

96 

.414  8519 

.517  9231 

.620  7401 

.723  3041 

96 

97 

.419  1733 

.523  3181 

.627  2061 

.730  8385 

97 

98 

.423  4946 

.528  7131 

.633  6721 

.738  3730 

98 

99 

.427  8160 

.534  1082 

.640  1382 

.745  9074 

99 

100 

.432  1374 

.539  5032 

.646  6042 

.753  4418 

100 

DO 


Logarithm  of  Amount  of  1  at  Compound  Interest 
TABLE  XII.  log  (1  +  i)" 


n 

2% 

2h% 

2%% 

n 

1 

.008  6002 

.009  6633 

.010  7239 

.011  7818 

1 

2 

.017  2003 

.019  3266 

.021  4477 

.023  5637 

2 

3 

.025  8005 

.028  9900 

.032  1716 

.035  3455 

3 

4 

.034  4007 

.038  6533 

.042  8955 

.047  1273 

4 

5 

.043  0009 

.048  3166 

.053  6193 

.058  9092 

5 

6 

.051  6010 

.057  9799 

.064  3432 

.070  6910 

6 

7 

.060  2012 

.067  6432 

.075  0671 

.082  4728 

7 

8 

.068  8014 

.077  3065 

.085  7909 

.094  2546 

8 

9 

.077  4015 

.086  9699 

.096  5148 

.106  0365 

9 

10 

.086  0017 

.096  6332 

-.107  2387 

.117  8183 

10 

11 

.094  6019 

.106  2965 

.117  9625 

.129  6001 

11 

12 

.103  2021 

.115  9598 

.128  6864 

.141  3820 

12 

13 

.111  8022 

.125  6231 

.139  4103 

.153  1638 

13 

14 

.120  4024 

.135  2864 

.150  1341 

.164  9456 

14 

15 

.129  0026 

.144  9498 

.160  8580 

.176  7275 

15 

16 

.137  6027 

.154  6131 

.171  5818 

.188  5093 

16 

17 

.146  2029 

.164  2764 

.182  3057 

.200  2911 

17 

18 

.154  8031 

.173  9397 

.193  0296 

.212  0729 

18 

19 

.163  4033 

.183  6030 

.203  7534 

.223  8548 

19 

20 

.172  0034 

.193  2663 

.214  4773 

.235  6366 

20 

21 

.180  6036 

.202  9297 

.225  2012 

.247  4184 

21 

22 

.189  2038 

.212  5930 

.235  9250 

.259  2003 

22 

23 

.197  8040 

.222  2563 

.246  6489 

.270  9821 

23 

24 

.206  4041 

.231  9196 

.257  3728 

.282  7639 

24 

25 

.215  0043 

.241  5829 

.268  0966 

.294  5458 

25 

26 

.223  6045 

.251  2462 

.278  8205 

.306  3276 

26 

27 

.232  2046 

.260  9096 

.289  5444 

.318  1094 

27 

28 

.240  8048 

.270  5729 

.300  2682 

.329  8913 

28 

29 

.249  4050 

.280  2362 

.310  9921 

.341  6731 

29 

30 

.258  0052 

.289  8995 

.321  7160 

.353  4549 

30 

31 

.266  6053 

.299  5628 

.332  4398 

.365  2367 

31 

32 

.275  2055 

.309  2261 

.343  1637 

.377  0186 

32 

33 

.283  8057 

.318  8894 

.353  8876 

.388  8004 

33 

34 

.292  4058 

.328  5528 

.364  61 14 

.400  5822 

34 

35 

.301  0060 

.338  2161 

.375  3353 

.412  3641 

35 

36 

.309  6062 

.347  8794 

.386  0592 

.424  1459 

36 

37 

.318  2064 

.357  5427 

.396  7830 

.435  9277 

37 

38 

.326  8065 

.367  2060 

.407  5069 

.447  7096 

38 

39 

.335  4067 

.376  8694 

.418  2308 

.459  4914 

39 

40 

.344  0069 

.386  5327 

.428  9546 

.471  2732 

40 

41 

.352  6070 

.396  1960 

.439  6785 

.483  0551 

41 

42 

.361  2072 

.405  8593 

.450  4023 

.494  8369 

42 

43 

.369  8074 

.415  5226 

.461  1262 

.506  6187 

43 

44 

.378  4076 

.425  1859 

.471  8501 

.518  4005 

44 

45 

.387  0077 

.434  8493 

.482  5739 

.530  1824 

45 

46 

.395  6079 

.444  5126 

.493  2978 

.541  9642 

46 

47 

.404  2081 

.454  1759 

.504  0217 

.553  7460 

47 

48 

.412  8082 

.463  8392 

.514  7455 

.565  5279 

48 

49 

.421  4084 

.473  5025 

.525  4694 

.577  3097 

49 

50 

.430  0086 

.483  1658 

.536  1933 

.589  0915 

50 

56 


Logarithm  of  Amount  of  1  at  Comi>ound  Interest 


TABLE  XII. 


log  (1  +  i)" 


n 

2% 

Ol,  (  - 

■^-^  /C 

•^<4  /c 

n 

51 

.438  6088 

.492  8292 

.546  9171 

.600  8734 

51 

52 

.447  2089 

.502  4925 

.557  6410 

.612  6552 

52 

53 

.455  8091 

.512  1558 

.568  3649 

.624  4370 

53 

54 

.464  4093 

.521  8191 

.579  0887 

.636  2188 

54 

55 

.473  0094 

.531  4824 

.589  8126 

.648  0007 

55 

56 

.481  6096 

.541  1457 

.600  5365 

.659  7825 

56 

57 

.490  2098 

.550  8091 

.611  2603 

.671  5643 

57 

58 

.498  8100 

.560  4724 

.621  9842 

.683  3462 

58 

59 

.507  4101 

.570  1357 

.632  7081 

.695  1280 

59 

60 

.516  0103 

.579  7990 

.643  4319 

.706  9098 

60 

61 

.524  6105 

.589  4623 

.654  1558 

.718  6917 

61 

62 

.533  2107 

.599  1256 

.664  8797 

.730  4735 

62 

63 

.541  8108 

.608  7890 

.675  6035 

.742  2553 

63 

64 

.550  4110 

.618  4523 

.686  3274 

.754  0372 

64 

65 

.559  01 12 

.628  1156 

.697  0513 

.765  8190 

65 

66 

.567  61 13 

.637  7789 

.707  7751 

.777  6008 

66 

67 

.576  2115 

.647  4422 

.718  4990 

.789  3826 

67 

68 

.584  8117 

.657  1055 

.729  2228 

.801  1645 

68 

69 

.593  41 19 

.666  7689 

.739  9467 

.812  9463 

69 

70 

.602  0120 

.676  4322 

.750  6706 

.824  7281 

70 

71 

.610  6122 

.686  0955 

.761  3944 

.836  5100 

71 

72 

.619  2124 

.695  7588 

.772  1 183 

.848  2918 

72 

73 

.627  8125 

.705  4221 

.782  8422 

.860  0736 

73 

74 

.636  4127 

.715  0854 

.793  5660 

.871  8555 

74 

75 

.645  0129 

.724  7488 

.804  2899 

.883  6373 

75 

76 

.653  6131 

.734  4121 

.815  0138 

.895  4191 

76 

77 

.662  2132 

.744  0754 

.825  7376 

.907  2009 

77 

78 

.670  8134 

.753  7387 

.836  4615 

.918  9828 

78 

79 

.679  4136 

.763  4020 

.847  1854 

.930  7646 

79 

80 

.688  0137 

.773  0653 

.857  9092 

.942  5464 

80 

81 

.696  6139 

.782  7287 

.868  6331 

.954  3283 

81 

82 

.705  2141 

.792  3920 

.879  3570 

.966  1101 

82 

83 

.713  8143 

.802  0553 

.890  0808 

.977  8919 

83 

84 

.722  4144 

.811  7186 

.900  8047 

.989  6738 

84 

85 

.731  0146 

.821  3819 

.911  5286 

1.001  4556 

85 

86 

.739  6148 

.831  0452 

.922  2524 

1.013  2374 

86 

87 

.748  2149 

.840  7086 

.932  9763 

1.025  0193 

87 

88 

.756  8151 

.850  3719 

.943  7002 

1.036  8011 

88 

89 

.765  4153 

.860  0352 

.954  4240 

1.048  5829 

89 

90 

.774  0155 

.869  6985 

.965  1479 

1.060  3647 

90 

91 

.782  6156 

.879  3618 

.975  8718 

1.072  1466 

91 

92 

.791  2158 

.889  0251 

.986  5956 

1.083  9284 

92 

93 

.799  8160 

.898  6885 

.997  3195 

1.095  7102 

93 

94 

.808  4161 

.908  3518 

1.008  0433 

1.107  4921 

94 

95 

.817  0163 

.918  0151 

1.018  7672 

1.1 19  2739 

95 

96 

.825  6165 

.927  6784 

1.029  491 1 

1.131  0557 

96 

97 

.834  2167 

.937  3417 

1.040  2149 

1.142  8376 

97 

98 

.842  8168 

.947  0050 

1.050  9388 

1.154  6194 

98 

99 

.851  4170 

.956  6684 

1.061  6627 

1.166  4012 

99 

100 

.860  0172 

.966  3317 

1.072  3865 

1.178  1831 

100 

Logarithm  of  Aniovint  of  1  at  Compound  Interest 
TABLE  XII.  los  (1  +  i)" 


n 

3% 

sh% 

4% 

4^% 

n 

1 

.012  8372 

.014  9403 

.017  0333 

.019  1163 

1 

2 

.025  6744 

.029  8807 

.034  0667 

.038  2326 

2 

3 

.038  5117 

.044  8210 

.051  1000 

.057  3489 

3 

4 

.051  3489 

.059  7614 

.068  1334 

.076  4652 

4 

5 

.064  1861 

.074  7017 

.085  1667 

.095  5815 

5 

6 

.077  0233 

.089  6421 

.102  2000 

.114  6977 

6 

7 

.089  8606 

.104  5824 

.119  2334 

.133  8140 

7 

8 

.102  6978 

.119  5228 

.136  2667 

.152  9303 

8 

9 

.115  5350 

.134  4631 

.153  3001 

.172  0466 

9 

10 

.128  3722 

.149  4035 

.170  3334 

.191  1629 

10 

11 

.141  2095 

.164  3438 

.187  3667 

.210  2792 

11 

12 

.154  0467 

.179  2842 

.204  4001 

.229  3955 

12 

13 

.166  8839 

.194  2245 

.221  4334 

.248  5118 

13 

14 

.179  7211 

.209  1649 

.238  4668 

.267  6281 

14 

15 

.192  5584 

.224  1052 

.255  5001 

.286  7444 

15 

16 

.205  3956 

.239  0456 

.272  5334 

.305  8606 

16 

17 

.218  2328 

.253  9859 

.289  5668 

.324  9769 

17 

18 

.231  0700 

.268  9263 

.306  6001 

.344  0932 

18 

19 

.243  9073 

.283  8666 

.323  6334 

.363  2095 

19 

20 

.256  7445 

.298  8070 

.340  6668 

.382  3258 

20 

21 

.269  5817 

.313  7473 

.357  7001 

.401  4421 

21 

22 

.282  4189 

.328  6877 

.374  7335 

.420  5584 

22 

23 

.295  2562 

.343  6280 

.391  7668 

.439  6747 

23 

24 

.308  0934 

.358  5684 

.408  8001 

.458  7910 

24 

25 

.320  9306 

.373  5087 

.425  8335 

.477  9073 

25 

26 

.333  7678 

.388  4491 

.442  8668 

.497  0236 

26 

27 

.346  6051 

.403  3894 

.459  9002 

.516  1398 

27 

28 

.359  4423 

.418  3298 

.476  9335 

.535  2561 

28 

29 

.372  2795 

.433  2701 

.493  9668 

.554  3724 

29 

30 

.385  1167 

.448  2105 

.511  0002 

.573  4887 

30 

31 

.397  9540 

.463  1508 

.528  0335 

.592  6050 

31 

32 

.410  7912 

.478  0912 

.545  0669 

.611  7213 

32 

33 

.423  6284 

.493  0315 

.562  1002 

.630  8376 

33 

34 

.436  4656 

.507  9719 

.579  1335 

.649  9539 

34 

35 

.449  3029 

.522  9122 

.596  1669 

.669  0702 

35 

36 

.462  1401 

.537  8526 

.613  2002 

.688  1865 

36 

37 

.474  9773 

.552  7929 

.630  2336 

.707  3027 

37 

38 

.487  8145 

.567  7333 

.647  2669 

.726  4190 

38 

39 

.500  6518 

.582  6736 

.664  3002 

.745  5353 

39 

40 

.513  4890 

.597  6140 

.681  3336 

.764  6516 

40 

41 

.526  3262 

.612  5543 

.698  3669 

.783  7679 

41 

42 

.539  1634 

.627  4947 

.715  4003 

.802  8842 

42 

43 

.552  0007 

.642  4350 

.732  4336 

.822  0005 

43 

44 

.564  8379 

.657  3754 

.749  4669 

.841  1168 

44 

45 

.577  6751 

.672  3157 

.766  5003 

.860  2331 

45 

46 

.590  5123 

.687  2561 

.783  5336 

.879  3494 

46 

47 

.603  3496 

.702  1964 

.800  5669 

.898  4656 

47 

48 

.616  1868 

.717  1368 

.817  6003 

.917  5819 

48 

49 

.629  0240 

.732  0771 

.834  6336 

.936  6982 

49 

50 

.641  8612 

.747  0175 

.851  6670* 

.955  8145 

50 

58 


Logarithm  of  Amount  of  1  per  Annum  at  Compound  Interest 
TABLE  XII.  log  (1+i)" 


n 

3% 

4% 

■ih% 

n 

51 

.654  6985 

.761  9578 

.868  7003 

.974  9308 

51 

52 

.667  5357 

.776  8982 

.885  7336 

.994  0471 

52 

53 

.680  3729 

.791  8385 

.902  7670 

1.013  1634 

53 

54 

.693  2101 

.806  7789 

.919  8003 

1.032  2797 

54 

55 

.706  0474 

.821  7192 

.936  8337 

1.051  3960 

55 

56 

.718  8846 

.836  6596 

.953  8670 

1.070  5123 

56 

57 

.731  7218 

.851  5999 

.970  9003 

1.089  6286 

57 

58 

.744  5590 

.866  5403 

.987  9337 

1.108  7448 

58 

59 

.757  3963 

.881  4806 

1.004  9670 

1.127  8611 

59 

60 

.770  2335 

.896  4210 

1.022  0004 

1.146  9774 

60 

61 

.783  0707 

.911  3613 

1.039  0337 

1.166  0937 

61 

62 

.795  9079 

.926  3017 

1.056  0670 

1.185  2100 

62 

63 

.808  7452 

.941  2420 

1.073  1004 

1.204  3263 

63 

64 

.821  5824 

.956  1824 

1.090  1337 

1.223  4426 

64 

65 

.834  4196 

.971  1227 

1.107  1671 

1.242  5589 

65 

66 

.847  2568 

.986  0631 

1.124  2004 

1.261  6752 

66 

67 

.860  0941 

1.001  0034 

1.141  2337 

1.280  7915 

67 

68 

.872  9313 

1.015  9438 

1.158  2671 

1.299  9077 

68 

69 

.885  7685 

1.030  8841 

1.175  3004 

1.319  0240 

69 

70 

.898  6057 

1.045  8245 

1.192  3338 

1.338  1403 

70 

71 

.911  4430 

1.060  7648 

1.209  3671 

1.357  2566 

71 

72 

.924  2802 

1.075  7052 

1.226  4004 

1.376  3729 

72 

73 

.937  1 174 

1.090  6455 

1.243  4338 

1.395  4892 

73 

74 

.949  9546 

1.105  5859 

1.260  4671 

1.414  6055 

74 

75 

.962  7919 

1.120  5262 

1.277  5004 

1.433  7218 

75 

76 

.975  6291 

1.135  4666 

1.294  5338 

1.452  8381 

76 

77 

.988  4663 

1.150  4069 

1.311  5671 

1.471  9544 

77 

78 

1.001  3035 

1.165  3473 

1.328  6005 

1.491  0707 

78 

79 

1.014  1408 

1.180  2876 

1.345  6338 

1.510  1869 

79 

80 

1.026  9780 

1.195  2280 

1.362  6671 

1.529  3032 

80 

81 

.039  8152 

1.210  1683 

1.379  7005 

1.548  4195 

81 

82 

1.052  6524 

1.225  1087 

1.396  7338 

1.567  5358 

82 

83 

1.065  4897 

1.240  0490 

1.413  7672 

1.586  6521 

83 

84 

1.078  3269 

1.254  9894 

1.430  8005 

1.605  7684 

84 

85 

1.091  1641 

1.269  9297 

1.447  8338 

1.624  8847 

85 

86 

1.104  0013 

1.284  8701 

1.464  8672 

1.644  0010 

86 

87 

1.116  8385 

1.299  8104 

1.481  9005 

1.663  1173 

87 

88 

1.129  6758 

1.314  7508 

1.498  9339 

1.682  2336 

88 

89 

1.142  5130 

1.329  6911 

1.515  9672 

1.701  3498 

89 

90 

1.155  3502 

1.344  6315 

1.533  0005 

1.720  4661 

90 

91 

1.168  1874 

1.359  5718 

1.550  0339 

1.739  5824 

91 

92 

1.181  0247 

1.374  5122 

1.567  0672 

1.758  6987 

92 

93 

1.193  8619 

1.389  4525 

1.584  1006 

1.777  8150 

93 

94 

1.206  6991 

1.404  3929 

1.601  1339 

1.796  9313 

94 

95 

1.219  5363 

1.419  3332 

1.618  1672 

1.816  0476 

95 

96 

1.232  3736 

1.434  2736 

1.635  2006 

1.835  1639 

96 

97 

1.245  2108 

1.449  2139 

1.652  2339 

1.854  2802 

97 

98 

1.258  0480 

1.464  1543 

1.669  2673 

1.873  3965 

98 

99 

1.270  8852 

1.479  0946 

1.686  3006 

1.892  5127 

99 

100 

1.283  7225 

1.494  0350 

1.703  3339 

1.911  6290 

100 

59 


Logarithm  of  Amount  of  1  at  Compound  Interest 
TABLE  XII.  log  (1  +  f)' 


n 

!     5% 

5h% 

6% 

7% 

n 

1 

.021  1893 

.023  2525 

.025  3059 

1     .029  3838 

1 

2 

.042  3786 

.046  5049 

.050  6117 

.058  7676 

2 

3 

.063  5679 

.069  7574 

.075  9176 

.088  1513 

3 

4 

.084  7572 

.093  0098 

.101  2235 

.117  5351 

4 

5 

.105  9465 

.116  2623 

.126  5293 

.146  9189 

5 

6 

.127  1358 

.139  5148 

.151  8352 

.176  3027 

6 

7 

.148  3251 

.162  7672 

.177  1411 

.205  6864 

7 

8 

.169  5144 

.186  0197 

.202  4469 

.235  0702 

8 

9 

.190  7037 

.209  2721 

.227  7528 

.264  4540 

9 

10 

.211  8930 

.232  5246 

.253  0587 

.293  8378 

10 

11 

.233  0823 

.255  7771 

.278  3645 

.323  2216 

11 

12 

.254  2716 

.279  0295 

.303  6704 

.352  6053 

12 

13 

.275  4609 

.302  2820 

.328  9762 

.381  9891 

13 

14 

.296  6502 

.325  5344 

.354  2821 

.411  3729 

14 

15 

.317  8395 

.348  7869 

.379  5880 

.440  7567 

15 

16 

.339  0288 

.372  0394 

.404  8938 

.470  1404 

16 

17 

.360  2181 

.395  2918 

.430  1997 

.499  5242 

17 

18 

.381  4074 

.418  5443 

.455  5056 

.528  9080 

18 

19 

.402  5967 

.441  7967 

.480  8114 

.558  2918 

19 

20 

.423  7860 

.465  0492 

.506  1173 

.587  6756 

20 

21 

.444  9753 

.488  3017 

.531  4232 

.617  0593 

21 

22 

.466  1646 

.511  5541 

.556  7290 

.646  4431 

22 

23 

.487  3539 

.534  8066 

.582  0349 

.675  8269 

23 

24 

.508  5432 

.558  0590 

.607  3408 

.705  2107 

24 

25 

.529  7325 

.581  3115 

.632  6466 

.734  5944 

25 

26 

.550  9218 

.604  5639 

.657  9525 

.763  9782 

26 

27 

.572  1111 

.627  8164 

.683  2584 

.793  3620 

27 

28 

.593  3004 

.651  0689 

.708  5642 

.822  7458 

28 

29 

.614  4897 

.674  3213 

.733  8701 

.852  1296 

29 

30 

.635  6790 

.697  5738 

.759  1760 

.881  5133 

30 

31 

.656  8683 

.720  8262 

.784  4818 

.910  8971 

31 

32 

.678  0576 

.744  0787 

.809  7877 

.940  2809 

32 

33 

.699  2469 

.767  3312 

.835  0936 

.969  6647 

33 

34 

.720  4362 

.790  5836 

.860  3994 

.999  0484 

34 

35 

.741  6255 

.813  8361 

.885  7053 

1.028  4322 

35 

36 

.762  8148 

.837  0885 

.911  0112 

1.057  8160 

36 

37 

.784  0041 

.860  3410 

.936  3170 

1.087  1998 

37 

38 

.805  1934 

.883  5935 

.961  6229 

1.116  5836 

38 

39 

.826  3827 

.906  8459 

.986  9287 

1.145  9673 

39 

40 

.847  5720 

.930  0984 

1.012  2346 

1.175  3511 

40 

41 

.868  7613 

.953  3508 

1 

1.037  5405 

1.204  7349 

41 

42 

.889  9506 

.976  6033 

1.062  8463 

1.234  1187 

42 

43 

.911  1399 

.999  8558 

1.088  1522 

1.263  5024 

43 

44 

.932  3292 

1.023  1082 

1.113  4581 

1.292  8862 

44 

45 

.953  5185 

1.046  3607 

1.138  7639 

1.322  2700 

45 

46 

.974  7078 

1.069  6131 

1.164  0698 

1.351  6538 

46 

47 

.995  8971 

1.092  8656 

1.189  3757 

1.381  0376 

47 

48 

1.017  0864 

1.116  1181 

1.214  6815 

1.410  4213 

48 

49 

1.038  2757 

1.139  3705 

1.239  9874 

1.439  8051 

49 

50 

1.059  4650 

1.162  6230 

1.265  2933 

1.469  1889 

50 

60 


Logarithm  of  Amount  of  1  at  Compound  Interest 


TABLE  XII. 


log  (l  +  i)" 


n 

5% 

oh7o 

6% 

-'} 

n 

51 

1.080  6543 

1.185  8754 

1.290  5991 

1.498  5727 

51 

52 

1.101  8436 

1.209  1279 

1.315  9050 

1.527  9564 

52 

53 

1.123  0329 

1.232  3804 

1.341  2109 

1.557  3402 

53 

54 

1.144  2222 

1.255  6328 

1.366  5167 

1.586  7240 

54 

55 

1.165  41  15 

1.278  8853 

1.391  8226 

1.616  1078 

55 

56 

1.186  6007 

1.302  1377 

1.417  1285 

1.645  4916 

56 

57 

1.207  7900 

1.325  3902 

1.442  4343 

1.674  8753 

57 

58 

1.228  9793 

1.348  6427 

1.467  7402 

1.704  2591 

58 

59 

1.250  1686 

1.371  8951 

1.493  0461 

1.733  6429 

59 

60 

1.271  3579 

1.395  1476 

1.518  3519 

1.763  0267 

60 

61 

1.292  5472 

1.418  4000 

1.543  6578 

1.792  4104 

61 

62 

1.313  7365 

1.441  6525 

1.568  9636 

1.821  7942 

62 

63 

1.334  9258 

1.464  9050 

1.594  2695 

1.851  1780 

63 

64 

1.356  1 151 

1.488  1574 

1.619  5754 

1.880  5618 

64 

65 

1.377  3044 

1.51  1  4099 

1.644  8812 

1.909  9456 

65 

66 

1.398  4937 

1.534  6623 

1.670  1871 

1.939  3293 

66 

67 

1.419  6830 

1.557  9148 

1.695  4930 

1.698  7131 

67 

68 

1.440  8723 

1.581  1673 

1.720  7988 

1.998  0969 

68 

69 

1.462  0616 

1.604  4197 

1.746  1047 

2.027  4807 

69 

70 

1.483  2509 

1.627  6722 

1.771  4106 

2.056  8644 

70 

71 

1.504  4402 

1.650  9246 

1.796  7164 

2.086  2482 

71 

72 

1.525  6295 

1.674  1771 

1.822  0223 

2.1  15  6320 

72 

73 

1.546  8188 

1.697  4296 

1.847  3282 

2.145  0158 

73 

74 

1.568  0081 

1.720  6820 

1.872  6340 

2.174  3995 

74 

75 

t.589  1974 

1.743  9345 

1.897  9399 

2.203  7833 

75 

76 

1.610  3867 

1.767  1869 

1.923  2458 

2.233  1671 

76 

77 

1.631  5760 

1.790  4394 

1.948  5516 

2.262  5509 

77 

78 

1.652  7653 

1.813  6918 

1.973  8575 

2.291  9347 

78 

79 

1.673  9546 

1.836  9443 

1.999  1634 

2.321  3184 

79 

80 

1.695  1439 

1.860  1968 

2.024  4692 

2.350  7022 

80 

81 

1.716  3332 

1.883  4492 

2.049  7751 

2.380  0860 

81 

82 

1.737  5225 

1.906  7017 

2.075  0810 

2.409  4698 

82 

83 

1.758  7118 

1.929  9541 

2.100  3868 

2.438  8535 

83 

84 

1.779  901 1 

1.953  2066 

2.125  6927 

2.468  2373 

84 

85 

1.801  0904 

1.976  4591 

2.150  9986 

2.497  621 1 

85 

86 

1.822  2797 

1.999  71  15 

2.176  3044 

2.527  0049 

86 

87 

1.843  4690 

2.022  9640 

2.201  6103 

2.556  3887 

87 

88 

1.864  6583 

2.046  2164 

2.226  9161 

2.585  7724 

88 

89 

1.885  8476 

2.069  4689 

2.252  2220 

2.615  1562 

89 

90 

1.907  0369 

2.092  7214 

2.277  5279 

2.644  5400 

90 

91 

1.928  2262 

2.1  15  9738 

2.302  8337 

2.673  9238 

91 

92 

1.949  4155 

2.139  2263 

2.328  1396 

2.703  3075 

92 

93 

1.970  6048 

2.162  4787 

2.353  4455 

2.732  6913 

93 

94 

1.991  7941 

2.185  7312 

2.378  7513 

2.762  0751 

94 

95 

2.012  9834 

2.208  9837 

2.404  0572 

2.791  4589 

95 

96 

2.034  1727 

2.232  2361 

2.429  3631 

2.820  8427 

96 

97 

2.055  3620 

2.255  4886 

2.454  6689 

2.850  2264 

97 

98 

2.076  5513 

2.278  7410 

2.479  9748 

2.879  61C2 

98 

99  : 

2.097  7406 

2.301  9935 

2.505  2807   \ 

2.908  9940 

99 

100 

2.118  9299 

2.325  2460 

2.530  5865   I 

2.938  3778 

100 

61 


Logarithm  of  Amount  of  1  per  Annum  at  Compound  Interest 


TABLE  XIIL 


log  s- 


n 

1% 

ih% 

ih% 

13^  CT" 

n 

1 

.000  0000 

.000  0000 

.000  0000 

.000  0000 

1 

2 

.303  1961 

.303  7359 

.304  2751 

.304  8135 

2 

3 

.481  4570 

.482  5386 

.483  6194   ' 

.484  6993 

3 

4 

.608  5689 

.610  1944 

.61 1  8193 

.613  4433 

4 

5 

.707  6557 

.709  8270 

.711  9983 

.714  1695 

5 

6 

.789  0173 

.791  7365 

.794  4568 

.797  1779 

6 

7 

.858  1481 

.861  4171 

.864  6887 

.867  9627 

7 

8 

.918  3277 

.922  1484 

.925  9738 

.929  8036 

8 

9 

.971  6713 

.976  0460 

.980  4275 

.984  8157 

9 

10 

1.019  6234 

1.024  5542 

1.029  4943   I 

1.034  4439 

10 

11 

1.063  2145 

1.068  7029 

1.074  2041 

1.079  7182 

11 

12 

1.103  2049 

1.109  2531 

1.115  3179 

1.121  3991 

12 

13 

1.140  1725 

1.146  7827 

1.153  4133 

1.160  0644 

13 

14 

1.174  5662 

1.181  7401 

1.188  9392 

1.196  1633 

14 

15 

1.206  7422 

1.214  4819 

1.222  2517 

1.230  0515 

15 

16 

1.236  9870 

1.245  2944 

1.253  6377 

1.262  0160 

16 

17 

1.265  5356 

1.274  4130 

1.283  3319 

1.292  2917 

17 

18 

1.292  5827 

1.302  0318 

1.311  5288 

1.321  0728 

18 

19 

1.318  2908 

1.328  3137 

1.338  3910 

1.348  5222 

19 

20 

1.342  7976 

1.353  3964 

1.364  0567 

1.374  7779 

20 

21 

1.366  2209 

1.377  3976 

1.388  6432 

1.399  9572 

21 

22 

1.388  6622 

1.400  4184 

1.412  2518 

1.424  1615 

22 

23 

1.410  2084 

1.422  5466 

1.434  9702 

1.447  4783 

23 

24 

1.430  9367 

1.443  8585 

1.456  8748 

1.469  9841 

24 

25 

1.450  9138 

1.464  4214 

1.478  0326 

1.491  7462 

25 

26 

1.470  1991 

1.484  2945 

1.498  5031 

1.512  8237 

26 

27 

1.488  8451 

1.503  5301 

1.518  3387 

1.533  2689 

27 

28 

1.506  8985 

1.522  1752 

1.537  5859 

1.553  1287 

28 

29 

1.524  4012 

1.540  2716 

1.556  2868 

1.572  4451 

29 

30 

1.541  3906 

1.557  8567 

1.574  4790 

1.591  2556 

30 

31 

1.557  9008 

1.574  9646 

1.592  1964 

1.609  5939 

31 

32 

1.573  9626 

1.591  6259 

1.609  4694 

1.627  4908 

32 

33 

1.589  6035 

1.607  8683 

1.626  3261 

1.644  9741 

33 

34 

1.604  8489 

1.623  7174 

1.642  7918 

1.662  0692 

34 

35 

1.619  7222 

1.639  1962 

1.658  8895 

1.678  7990 

35 

36 

1.634  2442 

1.654  3258 

1.674  6404 

1.695  1850 

36 

37 

1.648  4346 

1.669  1256 

1.690  0641 

1.711  2464 

37 

38 

1.662  3112 

1.683  6137 

1.705  1782 

1.727  0011 

38 

39 

1.675  8905 

1.697  8065 

1.719  9995 

1.742  4656 

39 

40 

1.689  1878 

1.711  7192 

1.734  5430 

1.757  6552 

40 

41 

1.702  2171 

1.725  3657 

1.748  8228 

1.772  5837 

41 

42 

1.714  9915 

1.738  7594 

!     1.762  8521 

1.787  2646 

42 

43 

1.727  5232 

1.751  9124 

:     1.776  6430 

1.801  7097 

43 

44 

1.739  8235 

1.764  8359 

1.790  2068 

1.815  9306 

44 

45 

1.751  9029 

1.777  5405 

1.803  5541 

1.829  9376 

45 

46 

1.763  7714 

1.790  0361 

1.816  6947 

1.843  7407 

46 

47 

1.775  4381 

1.802  3320 

1.829  6378 

1.857  3490 

47 

48 

1.786  91 18 

1.814  4366 

1.842  3922 

1.870  7712 

48 

49 

1.798  2004 

1.826  3582 

1.854  9658 

1.884  0154 

49 

50 

1.809  3117 

1.838  1043 

1.867  3663 

1.897  0893 

50 

62 


Logarithm  of  Amount  of  1  per  Annum  at  Compound  Interest 


TABLE  XIII. 


log  s 


^ 


n 

1% 

1  i-f'^ 

1  1  r  - 

A  2  ,0 

1  a^cf 

^4,   /O 

n 

51 

1.820  2527 

1.849  6823 

1.879  6008 

1.909  9997 

51 

52 

1.831  0303 

1.861  0987 

1.891  6761    i 

1.922  7538 

52 

53 

1.841  6508 

1.872  3599 

1.903  5987 

1.935  3576 

53 

54 

1.852  1203 

1.883  4719 

1.915  3743 

1.947  8173 

54 

55 

1.862  4442 

1.894  4404 

1.927  0088 

1.960  1384 

55 

56 

1.872  6280 

1.905  2708 

1.938  5074 

1.972  3263 

56 

57 

1.882  6770 

1.915  9681 

1.949  8752 

1.984  3862 

57 

58 

1.892  5957 

1.926  5372 

1.961  1172 

1.996  3227 

58 

59 

1.902  3888   1 

1.936  9827 

1.972  2377 

2.008  1405 

59 

60 

1.912  0608 

1.947  3087 

1.983  2412 

2.019  8438 

60 

61 

1.921  6156 

1.957  5196 

1.994  1317 

2.031  4367 

61 

62 

1.931  0570 

1.967  6191 

2.004  9130 

2.042  9234 

62 

63 

1.940  3892 

1.977  61 11 

2.015  5894 

2.054  3073 

63 

64 

1.949  6153 

1.987  4990 

2.026  1637 

2.065  5920 

64 

65 

1.058  7389 

1.997  2864 

2.036  6400 

2.076  7809 

65 

66 

1.967  7632 

2.006  9762 

2.047  0208 

2.087  8773 

66 

67 

1.976  6914 

2.016  5720 

2.057  3096 

2.098  8841 

67 

68 

1.985  5262 

2.026  0762 

2.067  5094 

2.109  8045 

68 

69 

1.994  2706 

2.035  4921 

2.077  6229 

2.120  6410 

69 

70 

2.002  9272 

2.044  8218 

2.087  6529 

2.131  3966 

70 

71 

2.011  4990 

2.054  0685 

2.097  6015 

2.142  7033 

71 

72 

2.019  9877 

2.063  2342 

2.107  4718 

2.152  6744 

72 

73 

2.028  3964 

2.072  3216 

2.117  2659 

2.163  2016 

73 

74 

2.036  7270 

2.081  3329 

2.126  9858 

2.173  6573 

74 

75 

2.044  9818 

2.090  2704 

2.136  6343 

2.184  0440 

75 

76 

2.053  1629 

2.099  1358 

2.146  2130 

2.194  3633 

76 

77 

2.061  2722 

2.107  9313 

2.155  7240 

2.204  6174 

77 

78 

2.069  3117 

2.116  6591 

2.165  1692 

2.214  8083 

78 

79 

2.077  2836 

2.125  3208 

2.174  5505 

2.224  9376 

79 

80 

2.085  1888 

2.133  9180 

2.183  8700 

2.235  0075 

80 

81 

2.093  0300 

2.142  4529 

2.193  1287 

2.245  0193 

81 

82 

2.100  8084 

2.150  9267 

2.202  3289 

2.254  9749 

82 

83 

2.108  5257 

2.159  3415 

2.211  4721 

2.264  8758 

83 

84 

2.1  16  1835 

2.167  6983 

2.220  5594 

2.274  7234 

84 

85 

2.123  7830 

2.175  9991 

2.229  5928 

2.284  5194 

85 

86 

2.131  3260 

2.184  2449 

2.238  5735 

2.294  2649 

86 

87 

2.138  8137 

2.192  4372 

2.247  5028 

2.303  9616 

87 

88 

2.146  2474 

2.200  5774 

2.256  3822 

2.313  6106 

88 

89 

2.153  6286 

2.208  6670 

2.265  2127 

2.323  2132 

89 

90 

2.160  9584 

2.216  7068 

2.273  9958 

2.332  7707 

90 

91 

2.168  2378 

2.224  6982 

2.282  7326 

2.342  2845 

91 

92 

2.175  4683 

2.232  6426 

2.291  4246 

2.351  7553 

92 

93 

2.182  651  1 

2.240  5407 

2.300  0724 

2.361  1844 

93 

94 

2.189  7869 

2.248  3941 

2.308  6772 

2.370  5730 

94 

95 

2.196  8771 

2.256  2033 

2.317  2401 

2.379  9219 

95 

96 

2.203  9226 

2.263  9698 

2.325  7623 

2.389  2323 

96 

97 

2.210  9244 

2.271  6943 

2.334  2445 

2.398  5051 

97 

98 

2.217  8833 

2.279  3778 

2.342  6881 

2.407  7413 

98 

99 

2.224  8005 

2.287  0213 

2.351  0935 

2.416  9417 

99 

100 

2.231  6769 

2.294  6255 

2.359  4617 

2.426  1073 

100 

63 


Logarithm  of  Amount  of  1  per  Annum  at  Compound  Interest 

i 

TABLE  XIII. 


log  S—. 

^  Til 


n 

2% 

^^  /O 

^^  /O 

2%  re 

n 

1 

.000  0000 

.000  0000 

.000  0000 

.000  0000 

1 

2 

.305  3514 

.305  8885 

.306  4250 

.306  9609 

2 

3 

.485  7782 

.486  8563 

.487  9334 

.489  0096 

3 

4 

.615  0666 

.616  6893 

.618  3112 

.619  9325 

4 

5 

.716  3407 

.718  51 16 

.720  6825 

.722  8532 

5 

6 

.799  9000 

.802  6230 

.805  3470 

.808  0718 

6 

7 

.871  2391 

.874  5179 

.877  7991 

.881  0826 

7 

8 

.933  6376 

.937  4759 

.941  3184 

.945  1651 

8 

9 

.989  2107 

.993  6123 

.998  0203 

1.002  4348 

9 

10 

1.039  4030 

1.044  3715 

1.049  3491 

1.054  3359 

10 

1  1 

1.085  2447 

1.090  7838 

1.096  3352 

1.101  8988 

11 

12 

1.127  4964 

1.133  6099 

1.139  7391 

1.145  8840 

12 

13 

1.166  7359 

1.173  4273 

1.180  1386 

1.186  8694 

13 

14 

1.203  4120 

1.210  6852 

1.217  9825 

1.225  3038 

14 

15 

1.237  8808 

1.245  7394 

1.253  6269 

1.261  5431 

15 

16 

1.270  4292 

1.278  8770 

1.287  3588 

1.295  8744 

16 

17 

1.301  2920 

1.310  3325 

1.319  4128 

1.328  5323 

17 

18 

1.330  6635 

1.340  3006 

1.349  9833 

1.359  7112 

18 

19 

1.358  7067 

1.368  9439 

1.379  2331 

1.389  5739 

19 

20 

1.385  5593 

1.396  4002 

1.407  3001 

1.418  2582 

20 

21 

1.411  3388 

1.422  7873 

1.434  3018 

1.445  8816 

21 

22 

1.436  1465 

1.448  2061 

1.460  3393 

1.472  5454 

22 

23 

1.460  0699 

1.472  7443 

1.485  5004 

1.498  3370 

23 

24 

1.483  1858 

1.496  4786 

1.509  8614 

1.523  3331 

24 

25 

1.505  5610 

1.519  47S3 

1.533  4894 

1.547  6005 

25 

26 

1.527  2548 

1.541  7953 

1.556  4437 

1.571  1986 

26 

27 

1.548  3197 

1.563  4895 

1.578  7767 

1.594  1798 

27 

28 

1.568  8024 

1.584  6051 

1.600  5351 

1.616  5907 

28 

29 

1.588  7448 

1.605  1840 

1.621  7608 

1.638  4733 

29 

30 

1.608  1844 

1.625  2637 

1.642  4913 

1.659  8650 

30 

31 

1.627  1552 

1.644  8781 

1.662  7604 

1.680  7996 

31 

32 

1.645  6878 

1.664  0580 

1.682  5988 

1.701  3078 

32 

33 

1.663  8099 

1.682  8308 

1.702  0343 

1.721  4173 

33 

34 

1.681  5470 

1.701  2223 

1.721  0921 

1.741  1534 

34 

35 

1.698  9221 

1.719  2552 

1.739  7954 

1.760  5392 

35 

36 

1.715  9563 

1.736  9510 

1.758  1653 

1.779  5959 

36 

37 

1.732  6692 

1.754  3287 

1.776  2212 

1.798  3426 

37 

38 

1.749  0785 

1.771  4065 

1.793  9810 

1.816  7975 

38 

39 

1.765  2008 

1.788  2007 

1.811  4610 

1.834  9767 

39 

40 

1.781  0512 

1.804  7266 

1.828  6763 

1.852  8954 

40 

41 

1.796  6439 

1.820  9981 

1.845  6413 

1.870  5679 

41 

42 

1.81  1  9918 

1.837  0285 

1.862  3688 

1.888  0070 

42 

43 

1.827  1072 

1.852  8296 

1.878  8710 

1.905  2247 

43 

44 

1.842  0014 

1.868  4131 

1.895  1590 

1.922  2325 

44 

45 

1.856  6849 

1.883  7892 

1.91 1  2436 

1.939  0407 

45 

46 

1.871  1674 

1.898  9678 

1.927  1344 

1.955  6591 

46 

47 

1.885  4583 

1.913  9582 

1.942  8405 

1.972  0969 

47 

48 

1.899  5662 

1.928  7689 

1.958  3707 

1.988  3627 

48 

49 

1.913  4991 

1.943  4080 

1.973  7330 

2.004  4645 

49 

50 

1.927  2646 

1.957  8831 

1.988  9349 

2.020  4098 

50 

61 


Logarithm  of  Amount  of  1  per  Annum  at  Compound  Interest 


TABLE  XIIL 

* 

logs-^ 

n 

2^ 

2%% 

2h% 

2%% 

n 

51 

1.940  8699 

1.972  2013 

2.003  9836 

2.036  2055 

51 

52 

1.954  3216 

1.986  3693 

2.018  8855 

2.051  8588 

52 

53 

1.967  6262 

2.000  3935 

2.033  6473 

2.067  3755 

53 

54 

1.980  7897 

2.014  2798 

2.048  2747 

2.082  7617 

54 

55 

1.993  8175 

2.028  0337 

1 

2.062  7734 

2.098  0228 

55 

56 

2.006  7153 

2.041  6607 

2.077  1487 

2.113  1642 

56 

57 

2.019  4877 

2.055  1657 

2.091  4055 

2.128  1910 

57 

58 

2.032  1399 

2.068  5539 

2.105  5487 

2.143  1081 

58 

59 

2.044  6761 

2.081  8292 

2.119  5828 

2.157  9195 

59 

60 

2.057  1012 

2.094  9962 

2.133  5121 

2.172  6294 

60 

61 

2.069  4186 

2.108  0594 

2.147  3405 

2.187  2425 

61 

62 

2.081  6324 

2.121  0217 

2.161  0720 

2.201  7622 

62 

63 

2.093  7466 

2.133  8877 

2.174  7100 

2.216  1920 

63 

64 

2.105  7645 

2.146  6603 

2.188  2583 

2.230  5355 

64 

65 

2.1 17  6894 

2.159  3433 

2.201  7201 

2.244  7960 

65 

66 

2.129  5246 

2.171  9397 

2.215  0987 

2.258  9766 

66 

67 

2.141  2731 

2.184  4523 

2.228  3970 

2.273  0805 

67 

68 

2.152  9377 

2.196  8843 

2.241  6177 

2.287  1 103 

68 

69 

2.164  5217 

2.209  2386 

2.254  7640 

2.301  0688 

69 

70 

2.176  0272 

2.221  5175 

2.267  8381 

2.314  9587 

70 

71 

2.187  4572 

2.233  7238 

2.280  8427 

2.328  7825 

71 

72 

2.198  8137 

2.245  8597 

2.293  7803 

2.342  5422 

72 

73 

2.210  0995 

2.257  9278 

2.306  6531 

2.356  2406 

73 

74 

2.221  3164 

2.269  9299 

2.319  4631 

2.369  8796 

74 

75 

2.232  4669 

2.281  8688 

2.332  2127 

2.383  4611 

75 

76 

2.243  5529 

2.293  7458 

2.344  9038 

2.396  9875 

76 

77 

2.254  5765 

2.305  5634 

2.357  5385 

2.410  4603 

77 

78 

2.265  5394 

2.317  3233 

2.370  1 183 

2.423  8818 

78 

79 

2.276  4436 

2.329  0273 

2.382  6455 

2.437  2533 

79 

80 

2.287  2909 

2.340  6772 

2.395  1213 

2.450  5768 

80 

81 

2.298  0829 

2.352  2745 

2.407  5477 

2.463  8537 

81 

82 

2.308  8212 

2.363  8211 

2.419  9261 

2.477  0857 

82 

83 

2.319  5074 

2.375  3183 

2.432  2581 

2.490  2743 

83 

84 

2.330  1429 

2.386  7678 

2.444  5453 

2.503  4208 

84 

85 

2.340  7294 

2.398  1708 

2.456  7888 

2.516  5268 

85 

86 

2.351  2681 

2.409  5289 

2.468  9901 

2.529  5934 

86 

87 

2.361  7606 

2.420  8433 

2.481  1507 

2.542  6220 

87 

88 

2.372  2079 

2.432  1153 

2.493  2716 

2.555  6138 

88 

89 

2.382  6114 

2.443  3462 

2.505  3541 

2.568  5700 

89 

90 

2.392  9723 

2.454  5370 

2.517  3995 

2.581  4917 

90 

91 

2.403  2917 

2.465  6893 

2.529  4086 

2.594  3801 

91 

92 

2.413  5710 

2.476  8037 

2.541  3828 

2.607  2361 

92 

93 

2.423  8109 

2.487  8815 

2.553  3231 

2.620  0608 

93 

94 

2.434  0127   ■ 

2.498  9237 

2.565  2303 

2.632  8552 

84 

95 

2.444  1776 

2.509  9314 

2.577  1058 

2.645  6203 

95 

96 

2.454  3061 

2.520  9055 

2.588  9500 

2.658  3569 

96 

97 

2.464  3995 

2.531  8470 

2.600  7642 

2.671  0660 

97 

98 

2.474  4586 

2.542  7567 

2.612  5493 

2.683  7484 

98 

99 

2.484  4844 

2.553  6355 

2.624  3059 

2.696  4047 

99 

100 

2.494  4777   1 

2.564  4843 

2.636  0350 

2.709  0361 

100 

Logarithm  of  Amount  of  1  Per  Annum  at  Compound  Interest 
TABLE  XI I L  '«^  ^Tl 


n 

3% 

sh% 

4Sc 

^h7o 

n 

1 

.000  0000 

.000  0000 

.000  0000 

.000  0000 

1 

2 

.307  4960 

.308  5644 

.309  6302 

.310  6933 

2 

3 

.490  0850 

.492  2329 

.494  3773 

.496  5180 

3 

4 

.621  5530 

.624  7917 

.628  0274 

.631  2602 

4 

5 

.725  0238 

.729  3645 

.733  7045 

.738  0437 

5 

6 

.810  7976 

.816  2513 

.821  7084 

.827  1684 

6 

7 

.884  3683 

.890  9465 

.897  5333 

.904  1284 

7 

8 

.949  0159 

.956  7296 

.964  4588 

.972  2034 

8 

9 

1.006  8555 

1.015  7158 

1.024  6004 

1.033  5088 

9 

10 

1.059  3316 

1.069  3496 

1.079  4022 

1.089  4886 

10 

11 

1.107  4744 

1.118  6612 

1.129  8945 

1.141  1731 

11 

12 

1.152  0445 

1.164  4112 

1.176  8378 

1.189  3227 

12 

13 

1.193  6196 

1.207  1772 

1.220  8097 

1.234  5151 

13 

14 

1.232  6486 

1.247  4083 

1.262  2591 

1.277  1990 

14 

15 

1.269  4876 

1.285  4601 

1.301  5419 

1.317  7302 

15 

16 

1.304  4233 

1.321  6197 

1.338  9450 

1.356  3956 

16 

17 

1.337  6906 

1.356  1218 

1.374  7028 

1.393  4296 

17 

18 

1.369  4837 

1.389  1606 

1.409  0097 

1.429  0265 

18 

19 

1.399  9655 

1.420  8990 

1.442  0285 

1.463  3488 

19 

20 

1.429  2737 

1.451  4745 

1.473  8966 

1.496  5342 

20 

21 

1.457  5259 

1.481  0048 

1.504  7318 

1.528  7000 

21 

22 

1.484  8233 

1.509  5910 

1.534  6348 

1.559  9470 

22 

23 

1.511  2533 

1.537  3205 

1.563  6933 

1.590  3628 

23 

24 

1.536  8925 

1.564  2698 

1.591  9835 

1.620  0235 

24 

25 

1.561  8079 

1.590  5059 

1.619  5723 

1.648  9960 

25 

26 

1.586  0587 

1.616  0878 

1.646  5189 

1.677  3391 

26 

27 

1.609  6972 

1.641  0680 

1.672  8754 

1.705  1050 

27 

28 

1.632  7702 

1.665  4931 

1.698  6883 

1.732  3402 

28 

29 

1.655  3195 

1.689  4047 

1.723  9995 

1.759  0861 

29 

30 

1.677  3826 

1.712  8405 

1.748  8462 

1.785  3802 

30 

31 

1.698  9934 

1.735  8342 

1.773  2621 

1.811  2558 

31 

32 

1.720  1821 

1.758  4160 

1.797  2777 

1.836  7433 

32 

33 

1.740  9769 

1.780  6141 

1.820  9205 

1.861  8702 

33 

34 

1.761  4029 

1.802  4532 

1.844  2155 

1.886  6613 

34 

35 

1.781  4831 

1.823  9566 

1.867  1858 

1.911  1396 

35 

36 

1.801  2386 

1.845  1452 

1.889  8523 

1.935  3257 

36 

37 

1.820  6888 

1.866  0383 

1.912  2340 

1.959  2387 

37 

38 

1.839  8515 

1.886  6537 

1.934  3486 

1.982  8960 

38 

39 

1.858  7431 

1.907  0076 

1.956  2124 

2.006  3138 

39 

40 

1.877  3786 

1.927  1150 

1.977  8402 

2.029  5068 

40 

41 

1.895  7721 

1.946  9900 

1.999  2460 

2.052  4889 

41 

42 

1.913  9366 

1.966  6455 

2.020  4425 

2.075  2724 

42 

43 

1.931  8843 

1.986  0935 

2.041  4416 

2.097  8692 

43 

44 

1.949  6262 

2.005  3449 

2.062  2543 

2.120  2903 

44 

45 

1.967  1727 

2.024  4104 

2.082  8908 

2.142  5458 

45 

46 

1.984  5339 

2.043  2994 

2.103  3608 

2.164  6449 

46 

47 

2.001  7186 

2.062  0213 

2.123  6732 

2.186  5965 

47 

48 

2.018  7354 

2.080  5841 

2.143  8364 

2.208  4089 

48 

49 

2.035  5924 

2.098  9960 

2.163  8580 

2.230  0895 

49 

50 

2.052  2970 

2.117  2644 

2.183  7454 

2.251  6456 

50 

66 


Logarithm  of  Amount  of  1  Per  Annum  at  Compound  Interest 
TABLE  XIII.  '''^  *iii 


n 

3^^c 

■ih'c 

V:c 

iH7c 

n 

51 

2.068  8564 

2.135  3960 

2.203  5055 

2.273  0839 

51 

52 

2.085  2770 

2.153  3977 

2.223  1445 

2.294  4106 

52 

53 

2.101  5652 

2.171  2755 

2.242  6688 

2.315  6315 

53 

54 

2.117  7269 

2.189  0355 

2.262  0840 

2.336  7526 

54 

55 

2.133  7676 

2.206  6826 

2.281  3951 

2.357  7786 

55 

56 

2.149  6925 

2.224  2222 

2.300  6074 

2.378  7145 

56 

57 

2.165  5066 

2.241  6592 

2.319  7259 

2.399  5648 

57 

58 

2.181  2145 

2.258  9984 

2.338  7546 

2.420  3342 

58 

59 

2.196  8210 

2.276  2439 

2.357  6980 

2.441  0264 

59 

60 

2.212  3298 

2.293  3999 

2.376  5599 

2.461  6456 

60 

61 

2.227  7453 

2.310  4702 

2.395  3444 

2.482  1950 

61 

62 

2.243  0713 

2.327  4586 

2.414  0548 

2.502  6783 

62 

63 

2.258  3110 

2.344  3686 

2.432  6948 

2.523  0988 

63 

64 

2.273  4682 

2.361  2037 

2.451  2673 

2.543  4594 

64 

65 

2.288  5461 

2.377  9668 

2.469  7754 

2.563  7631 

65 

66 

2.303  5474 

2.394  6611 

2.488  2222 

2.584  0127 

66 

67 

2.318  4757 

2.411  2893 

2.506  6103 

2.604  2107 

67 

68 

2.333  3335 

2.427  8541 

2.524  9422 

2.624  3596 

68 

69 

2.348  1235 

2.444  3583 

2.543  2206 

2.644  4618 

69 

70 

2.362  8482 

2.460  8045 

2.561  4478 

2.664  5195 

70 

71 

2.377  5100 

2.477  1946 

2.579  6260 

2.684  5346 

71 

72 

2.392  1114 

2.493  5312 

2.597  7572 

2.704  5093 

72 

73 

2.406  6548 

2.509  8163 

2.615  8436 

2.724  4455 

73 

74 

2.241  1419 

2.526  0519 

2.633  8872 

2.744  3449 

74 

75 

2.435  5750 

2.542  2402 

2.651  8896 

2.764  2093 

75 

76 

2.449  9560 

2.558  3828 

2.669  8527 

2.784  0402 

76 

77 

2.464  2869 

2.574  4816 

2.687  7783 

2.803  8393 

77 

78 

2.478  5693 

2.590  5383 

2.705  6677 

2.823  6079 

78 

79 

2.492  8052 

2.606  5544 

2.723  5227 

2.843  3476 

79 

80 

2.506  9958 

2.622  5319 

2.741  3446 

2.863  0596 

80 

81 

2.521  1432 

2.638  4718 

2.759  1349 

2.882  7452 

81 

82 

2.535  2485 

2.654  3757 

2.776  8947 

2.902  4055 

82 

83 

2.549  3134 

2.670  2451 

2.794  6254 

2.922  0418 

83 

84 

2.563  3392 

2.686  0810 

2.812  3284 

2.941  6551 

84 

85 

2.577  3274 

2.701  8850 

2.830  0045 

1 

2.961  2465 

85 

86 

2.591  2791 

2.717  6582 

1 

2.847  6550 

2.980  8169 

86 

87 

2.605  1955 

2.733  4016 

2.865  2811 

3.000  3674 

87 

88 

2.619  0781 

2.749  1 166 

2.882  8835 

3.019  8987 

88 

89 

2.632  9277 

2.764  8040 

2.900  4634 

3.039  41 18 

89 

90 

2.646  7456 

2.780  4649 

2.918  0215 

3.058  9075 

90 

91 

2.660  5329 

2.796  1003 

2.935  5589 

3.078  3865 

91 

92 

2.674  2904 

2.81  1  71  12 

2.953  0764 

3.097  8497 

92 

93 

2.688  0193 

2.827  2984 

2.970  5747 

3.1  17  2975 

93 

94 

2.701  7205 

2.842  8628 

2.988  0547 

3.136  7310 

94 

95 

2.715  3948 

2.858  4052 

3.005  5171 

3.156  1505 

95 

96 

2.729  0433 

2.873  9265 

3.022  9625 

3.175  5567 

96 

97 

2.742  6668 

2.889  4276 

3.040  3918 

3.194  9503 

97 

98 

2.756  2659 

2.904  9088 

3.057  8055 

3.214  3319 

98 

99 

2.769  8415 

2.920  3712 

3.075  2042 

3.233  7018 

99 

100 

2.783  3944 

2.935  8153 

3.092  5886 

3.253  0606 

100 

Logarithm  of  Amount  of  1  Per  Annum  at  Compound  Interest 
TABLE  XIII.  ^f>B  s--. 


n 

5% 

5h7o 

6% 

nor 
«  /o 

n 

1 

.000  0000 

.000  0000 

.000  0000 

.000  0000 

1 

2 

.311  7539 

.312  81  18 

.313  8672 

.315  9703 

2 

3 

.498  6551 

.500  7886 

.502  9185 

.507  1675 

3 

4 

.634  4898 

.637  7164 

.640  9399 

.647  3774 

4 

5 

.742  3819 

.746  7191 

.751  0552 

.759  7236 

5 

6 

.832  6310 

.838  0963 

.843  5640 

.854  5058 

6 

7 

.910  7316 

.917  3424 

.923  9606 

.937  2180 

7 

8 

.979  9628 

.987  7365 

.995  5241 

1.011  1390 

8 

9 

1.042  4402 

1.051  3941 

1.060  3697 

1.078  3839 

9 

10 

1.099  6079 

1.109  7592 

1.119  9416 

1.140  3964 

10 

11 

1.152  4959 

1.163  8617 

1.175  2694 

1.198  2061 

11 

12 

1.201  8647 

1.214  4621 

1.227  1136 

1.252  5728 

12 

13 

1.248  2917 

1.262  1377 

1.276  0512 

1.304  0733 

13 

14 

1.292  2258 

1.307  3371 

1.322  5308 

1.353  1559 

14 

15 

1.334  0226 

1.350  4160 

1.366  9077 

1.400  1756 

15 

16 

1.373  9687 

1.391  6608 

1.409  4686 

1.445  4182 

16 

17 

1.412  2959 

1.431  3059 

1.450  4475 

1.489  1175 

17 

18 

1.449  2065 

1.469  5452 

1.490  0379 

1.531  4665 

18 

19 

1.484  8549 

1.506  5412 

1.528  4023 

1.572  6273 

19 

20 

1.519  3811 

1.542  4310 

1.565  6778 

1.612  7361 

20 

21 

1.552  9024 

1.577  3318 

1.601  9810 

1.651  9094 

21 

22 

1.585  5195 

1.611  3442 

1.637  4126 

1.690  2470 

22 

23 

1.617  3199 

1.644  5552 

1.672  0593 

1.727  8351 

23 

24 

1.648  3795 

1.677  0409 

1.705  9969 

1.764  7489 

24 

25 

1.678  7650 

1.708  8676 

1.739  2915 

1.801  0539 

25 

26 

1.708  5353 

1.740  0939 

1.772  0016 

1.836  8080 

26 

27 

1.737  7421 

1.770  7718 

1.804  1787 

1.872  0620 

27 

28 

1.766  4321 

1.800  9473 

1.835  8688 

1.906  861  1 

28 

29 

1.794  6464 

1.830  6615 

1.867  1126 

1.941  2456 

29 

30 

1.822  4221 

1.859  9514 

1.897  9468 

1.975  2515 

30 

31 

1.849  7927 

1.888  8500 

1.928  4045 

2.008  9111 

31 

32 

1.876  7882 

1.917  3873 

1.958  5150 

2.042  2531 

32 

33 

1.903  4361 

1.945  5905 

1.988  3054 

2.075  3039 

33 

34 

1.929  7609 

1.973  4841 

2.017  8000 

2.108  0870 

34 

35 

1.955  7854 

2.001  0903 

2.047  0207 

2.140  6239 

35 

36 

1.981  5302 

2.028  4297 

2.075  9879 

2.172  9340 

36 

37 

2.007  0140 

2.055  5207 

2.104  7196 

2.205  0349 

37 

38 

2.032  2544 

2.082  3808 

2.133  2329 

2.236  9427 

38 

39 

2.057  2667 

2.109  0252 

2.161  5431 

2.268  6723 

39 

40 

2.082  0661 

2.135  4685 

2.189  6642 

2.300  2369 

40 

41 

2.106  6660 

2.161  7241 

2.217  6094 

2.331  6491 

41 

42 

2.131  0786 

2.187  8039 

2.245  3906 

2.362  9200 

42 

43 

2.155  3158 

2.213  7196 

2.273  0188 

2.394  0600 

43 

44 

2.179  3880 

2.239  4814 

2.300  5042 

2.425  0789 

44 

45 

2.203  3053 

2.265  0990 

2.327  8563 

2.455  9852 

45 

46 

2.227  0769 

2.290  5815 

2.355  0838 

2.486  7871 

46 

47 

2.250  7113 

2.315  9373 

2.382  1947 

2.517  4920 

47 

48 

2.274  2165 

2.341  1740 

2.409  1966 

2.548  1069 

48 

49 

2.297  6000 

2.366  2990 

2.436  0965 

2.578  6281 

49 

50 

2.320  8688 

2.391  3189 

2.462  9008 

2.609  0915 

50 

68 


Logarithm  of  Amount  of  1  Per  Annum  at  Compound  Interest 
TABLE  XIII.  '«^  ^m 


n 

5^7 

6% 

7% 

n 

51 

2.344  0293 

2.416  2399 

2.489  6155 

2.639  4725 

51 

52 

2.367  0877 

2.441  0682 

2.516  2462 

2.669  7862 

52 

53 

2.390  0497 

2.465  8092 

2.542  7983 

2.700  0373 

53 

54 

2.412  9205 

2.490  4677 

2.569  2767 

2.730  2300 

54 

55 

2.435  7052 

2.515  0488 

2.595  6858 

2.760  3686 

55 

56 

2.458  4084 

2.539  5568 

2.622  0297 

2.790  4566 

56 

57 

2.481  0349 

2.563  9961 

2.648  3128 

2.820  4973 

57 

58 

2.503  5883 

2.588  3705 

2.674  5385 

2.850  4944 

58 

59 

2.526  0729 

2.612  6838 

2.700  7103 

2.880  4504 

59 

60 

2.548  4922 

2.636  9394 

2.726  8316 

2.910  3684 

60 

61 

2.570  8497 

2.661  1405 

2.752  9053 

2.940  2508 

61 

62 

2.593  1486 

2.685  2902 

2.778  9343 

2.970  1001 

62 

63 

2.615  3922 

2.709  3915 

2.804  9213 

2.999  9185 

63 

64 

2.637  5831 

2.733  4471 

2.830  8686 

3.029  7081 

64 

65 

2.659  7242 

2.757  4593 

2.856  7789 

3.059  4707 

65 

66 

2.681  8180 

2.781  4307 

2.882  6541 

3.089  2082 

66 

67 

2.703  8670 

2.805  3636 

2.908  4965 

3.118  9224 

67 

68 

2.725  8735 

2.829  26,00 

2.934  3079 

3.148  6148 

68 

69 

2.747  8396 

2.853  1220 

2.960  0901 

3.178  2866 

69 

70 

2.769  7674 

2.876  9513 

2.985  8449 

3.207  9396 

70 

71 

2.791  6590 

2.900  7499 

3.011  5737 

3.237  5748 

71 

72 

2.813  5160 

2.924  5194 

3.037  2785 

3.267  1934 

72 

73 

2.835  3403 

2.948  2614 

3.062  9602 

3.296  7965 

73 

74 

2.857  1335 

2.971  9773 

3.088  6203 

3.326  3851 

74 

75 

2.878  8971 

2.995  6687 

3.114  2602 

3.355  9603 

75 

76 

2.900  6328 

3.019  3367 

3.139  8809 

3.385  5229 

76 

77 

2.922  3416 

3.042  9828 

3.165  4835 

3.415  0736 

77 

78 

2.944  0253 

3.066  6079 

3.191  0692 

3.444  6135 

78 

79 

2.965  6848 

3.090  2134 

3.216  6389 

3.474  1431 

79 

80 

2.987  3215 

3.113  8001 

3.242  1935 

3.503  6630 

80 

81 

3.008  9366 

3.137  3693 

3.267  7338 

3.533  1741 

81 

82 

3.030  5308 

3.160  9216 

3.293  2608 

3.562  6767 

82 

83 

3.052  1055 

3.184  4582 

3.318  7751 

3.592  1716 

83 

84 

3.073  6614 

3.207  9797 

3.344  2776 

3.621  6592 

84 

85 

3.095  1997 

3.231  4872 

3.369  7689 

3.651  1400 

85 

86 

3.116  7210 

3.254  9811 

3.395  2496 

3.680  6144 

86 

87 

3.138  2264 

3.278  4624 

3.420  7204 

3.710  0828 

87 

88 

3.159  7164 

3.301  9316 

3.446  1817 

3.739  5457 

88 

89 

3.181  1920 

3.325  3894 

3.471  6342 

3.769  0034 

89 

90 

3.202  6538 

3.348  8364 

3.497  0784 

3.798  4563 

90 

91 

3.224  1024 

3.372  2731 

3.522  5146 

3.827  9046 

91 

92 

3.245  5384 

3.395  7003 

3.547  9435 

3.857  3487 

92 

93 

3.266  9627 

3.419  1183 

3.573  3653 

3.886  7889 

93 

94 

3.288  3756 

3.442  5275 

3.598  7807 

3.916  2253 

94 

95 

3.309  7778 

3.465  9285 

3.624  1896 

3.945  6583 

95 

96 

3.331  1697 

3.489  3218 

3.649  5929 

3.975  0881 

96 

97 

3.352  5519 

3.512  7076 

3.674  9906 

4.004  5148 

97 

98 

3.373  9249 

3.536  0865 

3.700  3830 

4.033  9388 

98 

99 

3.395  2889 

3.559  4587 

3.725  7705 

4.063  3601 

99 

100 

3.416  6447 

3.582  8247 

3.751  1534 

4.902  7789 

100 

69 


Logarithm  of  Present  Value  of  1  per  Annum  at  Compound  Interest 
TABLE  XIV. 


log  a— I 


n 

1% 

ih% 

ih7o 

1%% 

n 

1 

9.995  6786 

9.994  6049 

9.993  5339 

9.992  4656 

1 

2 

0.294  5533 

0.292  9457 

0.291  3429 

0.289  7447 

2 

3 

0.468  4928 

0.466  3535 

0.464  2213 

0.462  0960 

3 

4 

0.591  2834 

0.588  6142 

0.585  9551 

0.583  3056 

4 

5 

0.686  0488 

0.682  8519 

0.679  6682 

0.676  4975 

5 

6 

0.763  0891 

0.759  3663 

0.755  6605 

0.751  9714 

6 

7 

0.827  8985 

0.823  6519 

0.819  4264 

0.815  2218 

7 

8 

0.883  7567 

0.878  9882 

0.874  2455 

0.869  5282 

8 

9 

0.932  7790 

0.927  4906 

0.922  2332 

0.917  0060 

9 

10 

0.976  4098 

0.970  6037 

0.964  8338 

0.959  0998 

10 

11 

1.015  6795 

1.009  3574 

1.003  0777 

0.996  8395 

11 

12 

1.051  3485 

1.044  5127 

1.037  7254 

1.030  9861 

12 

13 

1.083  9946 

1.076  6473 

1.069  3547 

1.062  1 170 

13 

14 

1.114  0669 

1.106  2096 

1.098  4146 

1.090  6814 

14 

15 

1.141  9215 

1.133  5564 

1.125  2611 

1.117  0352 

15 

16 

1.167  8449 

1.158  9740 

1.150  1810 

1.141  4654 

16 

17 

1.192  0723 

1.182  6976 

1.173  4092 

1.164  2065 

17 

18 

1.214  7980 

1.204  9213 

1.195  1399 

1.185  4533 

18 

19 

1.236  1846 

1.225  8081 

1.215  5363 

1.205  3683 

19 

20 

1.256  3701 

1.245  4959 

1.234  7359 

1.224  0895 

20 

21 

1.275  4721 

1.264  1018 

1.252  8563 

1.241  7345 

21 

22 

1.293  5919 

1.281  7277 

1.269  9989 

1.258  4043 

22 

23 

1.310  8168 

1.298  4609 

1.286  2512 

1.274  1866 

23 

24 

1.327  2237 

1.314  3777 

1.301  6897 

1.289  1582 

24 

25 

1.342  8796 

1.329  5457 

1.316  3816 

1.303  3859 

25 

26 

1.357  8434 

1.344  0236 

1.330  3860 

1.316  9288 

26 

27 

1.372  1681 

1.357  8643 

1.343  7555 

1.329  8396 

27 

28 

1.385  8999 

1.371  1144 

1.356  5367 

1.342  1651 

28 

29 

1.399  0814 

1.383  8157 

1.368  7716 

1.353  9471 

29 

30 

1.411  7494 

1.396  0056 

1.380  4978 

1.365  2230 

30 

31 

1.423  9383 

1.407  7186 

1.391  7490 

1.376  0269 

31 

32 

1.435  6785 

1.418  9848 

1.402  5561 

1.386  3894 

32 

33 

1.446  9981 

1.429  8323 

1.412  9467 

1.396  3384 

33 

34 

1.457  9223 

1.440  2864 

1.422  9464 

1.405  8990 

34 

35 

1.468  4740 

1.450  3701 

1.432  5780 

1.415  0945 

35 

36 

1.478  6748 

1.460  1047 

1.441  8629 

1.423  9459 

36 

37 

1.488  5437 

1.469  5094 

1.450  8205 

1.432  4729 

37 

38 

1.498  0990 

1.478  6026 

1.459  4687 

1.440  6932 

38 

39 

1.507  3570 

1.487  4002 

1.467  8238 

1.448  6233 

39 

40 

1.516  3329 

1.495  9178 

1.475  9013 

1.456  2784 

40 

41 

1.525  0407 

1.504  1695 

1.483  7150 

1.463  6726 

41 

42 

1.533  4937 

1.512  1681 

1.491  2783 

1.470  8190 

42 

43 

1.541  7041 

1.519  9260 

1.498  6032 

1.477  7297 

43 

44 

1.549  6830 

1.527  4545 

1.505  7010 

1.484  4162 

44 

45 

1.557  4411 

1.534  7641 

1.512  5822 

1.490  8888 

45 

46 

1.564  9883 

1.541  8647 

1.519  2567 

1.497  1574 

46 

47 

1.572  3336 

1.548  7654 

1.525  7339 

1.503  2313 

47 

48 

1.579  4858 

1.555  4751 

1.532  0221 

1.509  1191 

48 

49 

1.586  4531 

1.562  0017 

1.538  1297 

1.514  8290 

49 

50 

1.593  2430 

1.568  3528 

1.544  0641 

1.520  3684 

50 

70 


Logarithm  of  Present  Value  of  1  per  Annum  at  Compound  Interest 
TABLE  XIV.  '^^  «ir 


n 

1% 

ikVc 

ih'c 

1  3,  f  ' 
^4   /C 

n 

51 

1.599  8627 

1.574  5356 

1.549  8326 

1.525  7444 

51 

52 

1.606  3189 

1.580  5570 

1.555  4419 

1.530  9641 

52 

53 

1.612  6180 

1.586  4232 

1.560  8985 

1.536  0335 

53 

54 

1.618  7660 

1.592  1401 

1.566  2080 

1.540  9588 

54 

55 

1.624  7686 

1.597  7137 

1.571  3764 

1.545  7455 

55 

56 

1.630  6310 

1.603  1490 

1.576  4091 

1.550  3989 

56 

57 

1.636  3587 

1.608  4513 

1.581  3109 

1.554  9244 

57 

58 

1.641  9560 

1.613  6253 

1.586  0868 

1.559  3266 

58 

59 

1.647  4278 

1.618  6757 

1.590  7411 

1.563  6099 

59 

60 

1.652  7783 

1.623  6068 

1.595  2786 

1.567  7788 

60 

61 

1.658  0117 

1.628  4226 

1.599  7031 

1.571  8373 

61 

62 

1.663  1319 

1.633  1271 

1.604  0185 

1.575  7895 

62 

63 

1.668  1426 

1.637  7241 

1.608  2287 

1.579  6389 

63 

64 

1.673  0473 

1.642  2170 

1.612  3371 

1.583  3893 

64 

65 

1.677  8496 

1.646  6094 

1.616  3472 

1.587  0438 

65 

66 

1.682  5526 

1.650  9042 

1.620  2620 

1.590  6058 

66 

67 

1.687  1593 

1.655  1048 

1.624  0849 

1.594  0782 

67 

68 

1.691  6728 

1.659  2141 

1.627  8186 

1.597  4640 

68 

69 

1.696  0959 

1.663  2348 

1.631  4660 

1.600  7662 

69 

70 

1.700  4311 

1.667  1697 

1.635  0298 

1.603  9872 

70 

71 

1.704  6814 

1.671  0212 

1.638  5126 

1.607  1297 

71 

72 

1.708  8489 

1.674  7920 

1-.641  9168 

1.610  1963 

72 

73 

1.712  9362 

1.678  4844 

1.645  2448 

1.613  1891 

73 

74 

1.716  9454 

1.682  1006 

1.648  4987 

1.616  1105 

74 
75 

75 

1.720  8788 

1.685  6429 

1.651  6811 

1.618  9626 

76 

1.724  7385 

1.689  1134 

1.654  7937 

1.621  7474 

76 

77 

1.728  5263 

1.692  5139 

1.657  8387 

1.624  4671 

77 

78 

1.732  2446 

1.695  8466 

1.660  8179 

1.627  1236 

78 

79 

1.735  8949 

1.699  1132 

1.663  7332 

1.629  7186 

79 

80 

1.739  4790 

1.702  3155 

1.666  5865 

1.632  2540 

80 

81 

1.742  9988 

1.705  4553 

1.669  3793 

1.634  7315 

81 

82 

1.746  4558 

1.708  5342 

1.672  1135 

1.637  1527 

82 

83 

1.749  8517 

1.711  5538 

1.674  7905 

1.639  5190 

83 

84 

1.753  1880 

1.714  5157 

1.677  4119 

1.641  8322 

84 

85 

1.756  4662 

1.717  4213 

1.679  9792 

1.644  0938 

85 

86 

1.759  6878 

1.720  2721 

1.682  4938 

1.646  3050 

86 

87 

1.762  8541 

1.723  0694 

1.684  9571 

1.648  4673 

87 

88 

1.765  9665 

1.725  8147 

1.687  3704 

1.650  5818 

88 

89 

1.769  0262 

1.728  5091 

1.689  7350 

1.652  6500 

89 

90 

1.772  0346 

1.731  1538 

1.692  0520 

1.654  6732 

90 

91 

1.774  9927 

1.733  7504 

1.694  3229 

1.656  6524 

91 

92 

1.777  9019 

1.736  2997 

1.696  5486 

1.658  5888 

92 

93 

1.780  7632 

1.738  8028 

1.698  7304 

1.660  4835 

93 

94 

1.783  5778 

1.741  2610 

1.700  8692 

1.662  3376 

94 

95 

1.786  3465 

1.743  6754 

1.702  9662 

1.664  1522 

95 

96 

1.789  0707 

1.746  0467 

1.705  0223 

1.665  9281 

96 

97 

1.791  7511 

1.748  3762 

1.707  0385 

1.667  6665 

97 

98 

1.794  3887 

1.750  6646 

1.709  0159 

1.669  3684 

98 

99 

1.796  9846 

1.752  9131 

1.710  9552 

1.671  0343 

99 

100 

1.799  5395 

1.755  1224 

1.712  8575 

1.672  6655 

100 

71 


Logarithm  of  Present  Value  of  1  per  Annum  at  Compound  Interest 
TABLE  XIV.  '«^  «7i^ 


n 

2% 

2h% 

2%% 

2%% 

re 

1 

9.991  3999 

9.990  3366 

9.989  2761 

9.988  2182 

1 

2 

0.288  1510 

0.286  5619 

0.284  9773 

0.283  3972 

2 

3 

0.459  9777 

0.457  8663 

0.455  7618 

0.453  6641 

3 

4 

0.580  6660 

0.578  0361 

0.575  4158 

0.572  8051 

4 

5 

0.673  3398 

0.670  1951 

0.667  0632 

0.663  9441 

5 

6 

0.748  2990 

0.744  6432 

0.741  0038 

0.737  3808 

6 

7 

0.811  0379 

0.806  8747 

0.802  7321 

0.798  6098 

7 

8 

0.864  8362 

0.860  1693 

0.855  5275 

0.850  9104 

8 

9 

0.911  8092 

0.906  6424 

0.901  5055 

0.896  3982 

9 

10 

0.953  4014 

0.947  7383 

0.942  1105 

0.936  5176 

10 

11 

0.990  6429 

0.984  4873 

0.978  3727 

0.972  2987 

11 

12 

1.024  2944 

1.017  6501 

1.011  0528 

1.004  5021 

12 

13 

1.054  9336 

1.047  8042 

1.040  7283 

1.033  7056 

13 

14 

1.083  0096 

1.075  3988 

1.067  8484 

1.060  3581 

14 

15 

1.108  8782 

1.100  7897 

1.092  7690 

1.084  8157 

15 

16 

1.132  8265 

1.124  2639 

1.115  7770 

1.107  3651 

16 

17 

1.155  0891 

1.146  0562 

1.137  1071 

1.128  2413 

17 

18 

1.175  8605 

1.166  3609 

1.156  9537 

1.147  6382 

18 

19 

1.195  3035 

1.185  3409 

1.175  4796 

1.165  7190 

19 

20 

1.213  5558 

1.203  1339 

1.192  8228 

1.182  6215 

20 

21 

1.230  7352 

1.219  8576 

1.209  1006 

1.198  4631 

21 

22 

1.246  9427 

1.235  6131 

1.224  4143 

1.213  3451 

22 

23 

1.262  2660 

1.250  4881 

1.238  8515 

1.227  3549 

23 

24 

1.276  7817 

1.264  5589 

1.252  4886 

1.240  5691 

24 

25 

1.290  5567 

1.277  8929 

1.265  3928 

1.253  0548 

25 

26 

1.303  6504 

1.290  5491 

1.277  6232 

1.264  8710 

26 

27 

1.316  1151 

1.302  5799 

1.289  2323 

1.276  0704 

27 

28 

1.327  9975 

1.314  0322 

1.300  2669 

1.286  6995 

28 

29 

1.339  3398 

1.324  9478 

1.310  7687 

1.296  8002 

29 

30 

1.350  1793 

1.335  3642 

1.320  7753 

1.306  4100 

30 

31 

1.360  5499 

1.345  3153 

1.330  3206 

1.315  5628 

31 

32 

1.370  4823 

1.354  8319 

1.339  4351 

1.324  2892 

32 

33 

1.380  0042 

1.363  9414 

1.348  1467 

1.332  6168 

33 

34 

1.389  1411 

1.372  6695 

1.356  4807 

1.340  5712 

34 

35 

1.397  9160 

1.381  0391 

1.364  4601 

1.348  1751 

35 

36 

1.406  3501 

1.389  0716 

1.372  1061 

1.355  4499 

36 

37 

1.414  4628 

1.396  7860 

1.379  4382 

1.362  4149 

37 

38 

1.422  2720 

1.404  2005 

1.386  4740 

1.369  0879 

38 

39 

1.429  7941 

1.411  3313 

1.393  2302 

1.375  4853 

39 

40 

1.437  0443 

1.418  1939 

1.399  7217 

1.381  6222 

40 

41 

1.444  0368 

1.424  8022 

1.405  9628 

1.387  5128 

41 

42 

1.450  7846 

1.431  1692 

1.411  9665 

1.393  1700 

42 

43 

1.457  2998 

1.437  3070 

1.417  7447 

1.398  6060 

43 

44 

1.463  5938 

1.443  2271 

1.423  3089 

1.403  8319 

44 

45 

1.469  6772 

1.448  9399 

1.428  6696 

1.408  8583 

45 

46 

1.475  5596 

1.454  4553 

1.433  8365 

1.413  6948 

46 

47 

1.481  2503 

1.459  7823 

1.438  8188 

1.418  3509 

47 

48 

1.486  7580 

1.464  9297 

1.443  6252 

1.422  8349 

48 

49 

1.492  0907 

1.469  9054 

1.448  2636 

1.427  1548 

49 

50 

1.497  2560 

1.474  7172 

1.452  7417 

1.431  3182 

50 

72 


Logarithm  of  Present  Value  of  1  per  Annum  at  Compound  Interest 
TABLE  XIV. 


log  a- 


n 

2% 

2h% 

n 

51 

1.502  2611 

1.479  3721 

1.457  0664 

1.435  3322 

51 

52 

1.507  1127 

1.483  8769 

1.461  2445 

1.439  2036 

52 

53 

1.511  8171 

1.488  2377 

1.465  2824 

1.442  9384 

53 

54 

1.516  3803 

1.492  4606 

1.469  1860 

1.446  5428 

54 

55 

1.520  8081 

1.496  5512 

1.472  9608 

1.450  0221 

55 

56 

1.525  1056 

1.500  5150 

1.476  6122 

1.453  3817 

56 

57 

1.529  2779 

1.504  3567 

1.480  1452 

1.456  6268 

57 

58 

1.533  3300 

1.508  0814 

1.483  5646 

1.459  7619 

58 

59 

1.537  2661 

1.511  6935 

1.486  8747 

1.462  7915 

59 

60 

1.541  0909 

1.515  1973 

1.490  0802 

1.465  7197 

60 

61 

1.544  8081 

1.518  5970 

1.493  1847 

1.468  5508 

61 

62 

1.548  4218 

1.521  8962 

1.496  1922 

1.471  2886 

62 

63 

1.551  9357 

1.525  0987 

1.499  1064 

1.473  9366 

63 

64 

1.555  3534 

1.528  2081 

1.501  9309 

1.476  4983 

64 

65 

1.558  6782 

1.531  2277 

1.504  6689 

1.478  9770 

65 

66 

1.561  9132 

1.534  1608 

1.507  3235 

1.481  3758 

66 

67 

1.565  0615 

1.537  0101 

1.509  8980 

1.483  6979 

67 

68 

1.568  1261 

1.539  7789 

1.512  3950 

1.485  9458 

68 

69 

1.571  1098 

1.542  4697 

1.514  8172 

1.488  1226 

69 

70 

1.574  0152 

1.545  0852 

1.517  1676 

1.490  2306 

70 

71 

1.576  8449 

1.547  6282 

1.519  4483 

1.492  2725 

71 

72 

1.579  6013 

1.550  1009 

1.521  6620 

1.494  2504 

72 

73 

1.582  2869 

1.552  5056 

1.523  8108 

1.496  1670 

73 

74 

1.584  9037 

1.554  8445 

1.525  8971 

1.498  0240 

74 

75 

1.587  4540 

1.557  1200 

1.527  9228 

1.499  8239 

75 

76 

1.589  9399 

1.559  3338 

1.529  8900 

1.501  5683 

76 

77 

1.592  2632 

1.561  4879 

1.531  8008 

1.503  2595 

77 

78 

1.594  7260 

1.563  5846 

1.533  6569 

1.504  8989 

78 

79 

1.597  0301 

1.565  6252 

1.535  4600 

1.506  4888 

79 

80 

1.599  2771 

1.567  6118 

1.537  2121 

1.508  0303 

80 

81 

1.601  4689 

1.569  5459 

1.538  9146 

1.509  5255- 

i 

81 

82 

1.603  6071 

1.571  4291 

1.540  5692 

1.510  9757 

82 

83 

1.605  6931 

1.573  2630 

1.542  1774 

1.512  3824 

83 

84 

1.607  7285 

1.575  0492 

1.543  7405 

1.513  7471 

84 

85 

1.609  7148 

1.576  7890 

1.545  2602 

1.515  0712 

85 

86 

1.611  6534 

1.578  4837 

1.546  7377 

1.516  3560 

86 

87 

1.613  5456 

1.580  1347 

1.548  1744 

1.517  6027 

87 

88 

1.615  3928 

1.581  7434 

1.549  5715 

1.518  8128 

88 

89 

1.617  1961 

1.583  3110 

1.550  9301 

1.519  9871 

89 

90 

1.618  9568 

1.584  8386 

1.552  2515 

1.521  1269 

90 

91 

1.620  6761 

1.586  3275 

1.553  5369 

1.522  2335 

91 

92 

1.622  3551 

1.387  7785 

1.554  7873 

1.523  3077 

92 

93 

1.623  9950 

1.589  1931 

1.556  0037 

1.524  3507 

93 

94 

1.625  5965 

1.590  5720 

1.557  1871 

1.525  3632 

94 

95 

1  627  1612 

1.591  9164 

1.558  3385 

1.526  3465 

95 

96 

1.628  6895 

1.593  2272 

1.559  4590 

-  1.527  3012 

96 

97 

1.630  1828 

1.594  5053 

1.560  5493 

1.528  2284 

97 

98 

1.631  6419 

1.595  7517 

1.561  6104 

1.529  1290 

98 

99 

1.633  0675 

1.596  9672 

1.562  6433 

1.530  0036 

99 

100 

1.634  4606 

1.598  1527 

1.563  6484 

1.530  8531 

100 

Logarithm  of  Present  Value  of  1  per  Anniiin  at  Compound  Interest 
TABLE  XIV.  if^g  «7ri 


n 

3% 

sh7o 

4% 

4^% 

n 

1 

9.987  1628 

9.985  0596 

9.982  9667 

9.980  8837 

1 

2 

0.281  8216 

0.278  6837 

0.275  5635 

0.272  4607 

2 

3 

0.451  5733 

0.447  4118 

0.443  2772 

0.439  1691 

3 

4 

0.570  2040 

0.565  0303 

0.559  8941 

0.554  7950 

4 

5 

0.660  8377 

0.654  6628 

0.648  5378 

0.642  4622 

5 

6 

0.733  7742 

0.726  6093 

0.719  5084 

0.712  4706 

6 

7 

0.794  5078 

0.786  3640 

0.778  2999 

0.770  3144 

7 

8 

0.846  3181 

0.837  2067 

0.828  1922 

0.819  2732 

8 

9 

0.891  3205 

0.881  2526 

0.871  3003 

0.861  4621 

9 

10 

0.930  9593 

0.919  9461 

0.909  0688 

0.898  3257 

10 

11 

0.966  2649 

0.954  3173 

0.942  5277 

0.930  8939 

11 

12 

0.997  9978 

1.985  1270 

0.972  4377 

0.959  9273 

12 

13 

1.026  7357 

1.012  9527 

0.999  3763 

0.986  0033 

13 

14 

1.052  9275 

1.308  2433 

1.023  7924 

1.009  5710 

14 

15 

1.076  9292 

1.061  3549 

1.046  0418 

1.030  9859 

15 

16 

1.099  0277 

1.082  5742 

1.066  4115 

1.050  5350 

16 

17 

1.119  4578 

1.102  1359 

1.085  1360 

1.068  4527 

17 

18 

1.138  4136 

1.120  2343 

1.102  4096 

1.084  9332 

18 

19 

1.156  0582 

1.137  0323 

1.118  3950 

1.100  1393 

19 

20 

1.172  5293 

1.152  6675 

1.133  2299 

1.114  2084 

20 

21 

1.187  9442 

1.167  2574 

1.147  0317 

1.127  2579 

21 

22 

1.202  4043 

1.180  9033 

1.159  9014 

1.139  3887 

22 

23 

1.215  9972 

1.193  6924 

1.171  9265 

1.150  6882 

23 

24 

1.228  7991 

1.205  7014 

1.183  1833 

1.161  2325 

24 

25 

1.240  8773 

1.216  9971 

1.193  7388 

1.171  0887 

25 

26 

1.252  2908 

1.227  6387 

1.203  6520 

1.180  3155 

26 

27 

1.263  0921 

1.237  6786 

1.212  9752 

1.188  9651 

27 

28 

1.273  3279 

1.247  1633 

1.221  7548 

1.197  0840 

28 

29 

1.283  0400 

1.256  1346 

1.230  0327 

1.204  7137 

29 

30 

1.292  2658 

1.264  6301 

1.237  8460 

1.211  8914 

30 

31 

1.301  0393 

1.272  6833 

1.245  2287 

1.218  6508 

31 

32 

1.309  3909 

1.280  3248 

1.252  2109 

1.225  0220 

32 

33 

1.317  3485 

1.287  5825 

1.258  8203 

1.231  0326 

33 

34 

1.324  9373 

1.294  4813 

1.265  0821 

1.236  7075 

34 

35 

1.332  1802 

1.301  0443 

1.271  0190 

1.242  0694 

35 

36 

1.339  0985 

1.307  2926 

1.276  6521 

1.247  1392 

36 

37 

1.345  7115 

1.313  2454 

1.282  0004 

1.251  9359 

37 

38 

1.352  0370 

1.318  9204 

1.287  0818 

1.256  4770 

38 

39 

1.358  0913 

1.324  3339 

1.291  9122 

1.260  7785 

39 

40 

1.363  8896 

1.329  5011 

1.296  5067 

1.264  8552 

40 

41 

1.369  4459 

1.334  4357 

1.300  8791 

1.268  7209 

41 

42 

1.374  7733 

1.339  1509 

1.305  0423 

1.272  3882 

42 

43 

1.379  8836 

1.343  6585 

1.309  0079 

1.275  8688 

43 

44 

1.384  7883 

1.347  9696 

1.312  7873 

1.279  1736 

44 

45 

1.389  4977 

1.352  0947 

1.316  3906 

1.282  3127 

45 

46 

1.394  0216 

1.356  0434 

1.319  8273 

1.285  2955 

46 

47 

1.398  3690 

1.359  8248 

1.323  1064 

1.288  1309 

47 

48 

1.402  5487 

1.363  4473 

1.326  2361 

1.290  8269 

48 

49 

1.406  5684 

1.366  9190 

1.329  2244 

1.293  3913 

49 

50 

1.410  4358 

1.370  2469 

1.332  0784 

1.295  8311 

50 

71 


Logarithm  of  Present  Value  of  1  per  Anniini  at  Compound  Interest 
TABLE  XIV. 


log  a— 


n 

3% 

1 V  f  ' 

4^r, 

4J^Sc 

n 

51 

1.414  1579 

1.373  4383 

1.334  8052 

1.298  1531 

51 

52 

1.417  7413 

1.376  4996 

1.337  4109 

1.300  3634 

52 

53 

1.421  1923 

1.379  4371 

1.339  9018 

1.302  4681 

53 

54 

1.424  5167 

1.382  2566 

1.342  2837 

1.304  4728 

54 

55 

1.427  7202 

1.384  9634 

1.344  5614 

1.306  3825 

55 

56 

1.430  8078 

1.387  5626 

1.346  7405 

1.308  2021 

56 

57 

1.433  7848 

1.390  0594 

1.348  8255 

1.309  9363 

57 

58 

1.436  6556 

1.392  4580 

1.350  8209 

1.31 1  5893 

58 

59 

1.439  4247 

1.394  7633 

1.352  7309 

1.313  1652 

59 

60 

1.442  0963 

1.396  9788 

1.354  5596 

1.314  6681 

60 

61 

1.444  6746 

1.399  1089 

1.356  3107 

1.316  1012 

61 

62 

1.447  1633 

1.401  1569 

1.357  9877 

1.317  4682 

62 

63 

1.449  5658 

1.403  1266 

1.359  5943 

1.318  7724 

63 

64 

1.451  8858 

1.405  0212 

1.361  1335 

1.320  0168 

64 

65 

1.454  1264 

1.406  8440 

1.362  6083 

1.321  2043 

65 

66 

1.456  2907 

1.408  5979 

1.364  0218 

1.322  3376 

66 

67 

1.458  3817 

1.410  2858 

1.365  3766 

1.323  4193 

67 

68 

1.460  4023 

1.411  9103 

1.366  6752 

1.324  4520 

68 

69 

1.462  3549 

1.413  4742 

1.367  9203 

1.325  4379 

69 

70 

1.464  2424 

1.414  9800 

1.369  1139 

1.326  3791 

70 

71 

1.466  0670 

1.416  4297 

1.370  2588 

1.327  2780 

71 

72 

1.467  8313 

1.417  8259 

1.371  3568 

1.328  1365 

72 

73 

1.469  5373 

1.419  1708 

1.372  4099 

1.328  9562 

73 

74 

1.471  1873 

1.420  4660 

1.373  4200 

1.329  7395 

74 

75 

1.472  7832 

1.421  7139 

1.374  3892 

1.330  4874 

75 

76 

1.474  3270 

1.422  9161 

1.375  3189 

1.331  2020 

76 

77 

1.475  8206 

1.424  0746 

1.376  2111 

1.331  8850 

77 

78 

1.477  2658 

1.425  1910 

1.377  0673 

1.332  5373 

78 

79 

1.478  6644 

1.426  2668 

1.377  8889 

1.333  1607 

79 

80 

1.480  0178 

1.427  3040 

1.378  6774 

1.333  7563 

80 

81 

1.481  3279 

1.428  3034 

1.379  4344 

1.334  3256 

81 

82 

1.482  5962 

1.429  2670 

1.380  1609 

1.334  8697 

82 

83 

1.483  8238 

1.430  1960 

1.380  8583 

1.335  3897 

83 

84 

1.485  0124 

1.431  0916 

1.381  5278 

1.335  8868 

84 

85 

1.486  1633 

1.431  9552 

1.382  1707 

1.336  3619 

85 

86 

1.487  2778 

1.432  7881 

1.382  7879 

1.336  8160 

86 

87 

1.488. 3571 

1.433  5912 

1.383  3806 

1.337  2501 

87 

88 

1.489  4022 

1.434  3657 

1.383  9497 

1.337  6652 

88 

89 

1.490  4147 

1.435  1128 

1.384  4962 

1.338  0620 

89 

90 

1.491  3954 

1.435  8335 

1.385  0211 

1.338  4413 

90 

91 

1.492  3454 

1.436  5285 

1.385  5251 

1.338  8041 

91 

92 

1.493  2657 

1.437  1991 

1.386  0092 

1.339  1510 

92 

93 

1.494  1575 

1.437  8460 

1.386  4741 

1.339  4824 

93 

94 

1.495  0215 

1.438  4700 

1.386  9209 

1.339  7997 

94 

95 

1.495  8586 

1.439  0720 

1.387  3499 

1.340  1029 

95 

96 

1.496  6698 

1.439  6529 

1.387  7619 

1.340  3929 

96 

97 

1.497  4560 

1.440  2136 

1.388  1578 

1.340  6702 

97 

98 

1.498  2178 

1.440  7545 

1.388  5382 

1.340  9354 

98 

99 

1.498  9563 

1.441  2766 

1.388  9036 

1.341  1890 

99 

100 

1.499  6720 

1.441  7804 

1.389  2547 

1.341  4316 

100 

o 


I>f>earifhm  of  Prr-rnt  ^  aliif  of  I  pr-r  Annum  at  (impound  Inlerei^t 
TABI.f    \IV.  '''-"tt 


n 

O'r 

oh'  f 

6  f 

^"< 

n 

1 

9.978  8108 

9  976  7476 

9.974  6942 

9.970  6162 

1 

2 

0-269  3752 

0.266  3070 

0.263  2555 

0.257  2028 

2 

3 

0  435  0872 

0.431  0312 

0.427  0009 

0.419  0161 

3 

4 

0  549  7327 

0.544  7066 

0.539  7165 

0.529  8423 

4 

5 

0  636  4354 

0.630  4568 

0.624  5259 

0.612  3047 

5 

6 

0.705  4952 

0.693  5816 

0.691  7238 

0.673  2032 

6 

7 

0.762  4065 

0.754  5752 

0.746  8195 

0.731  5315 

7 

8 

0.B10  4485 

O.B01  7169 

0.793  0772 

0.776  0688 

8 

» 

0-S51  7365 

0.842  1220 

0.332  6170 

0.313  9299 

9 

10 

0.887  7149 

0.877  2346 

0.866  8829 

0.845  5587 

10 

11 

0.919  4136 

0.908  0847 

0.896  9049 

0.374  9845 

11 

12 

0.947  5930 

0  935  4326 

0.923  4432 

0.399  9674 

12 

13 

0.972  8308 

0.959  8557 

0.947  0749 

0.922  0342 

13 

14 

0  995  5756 

0.981  8027 

0.968  2486 

0.941  7830 

14 

15 

1.016  1831 

1.001  6291 

0.987  3198 

0.959  4190 

15 

16 

1.034  9399 

1.019  6214 

1.004  5748 

0.975  2777 

16 

17 

1.052  0806 

1.036  0142 

1.020  2477 

0.989  5932 

17 

18 

1.067  7992 

1.051  0010 

1.034  5323 

1.002  5586 

18 

19 

1.082  2582 

1.064  7445 

1.047  5910 

1.014  3355 

19 

20 

1.095  5950 

1.077  3818 

1.059  5604 

1.025  0606 

20 

21 

1.107  9271 

1.089  0301 

1.070  5578 

1.034  8500 

21 

22 

1.119  3550 

1.099  7901 

1.080  6836 

1.043  8039 

22 

23 

1.129  9561 

1.109  7436 

1.090  0244 

1.052  0032 

23 

24 

1.139  8363 

1.118  9819 

1.093  6561 

1.059  5382 

24 

25 

1.149  0326 

1.127  5561 

1.106  6449 

1.066  4594 

25 

26 

1.157  6135 

1.135  5300 

1.114  0492 

1.072  8298 

26 

27 

1.165  6311 

1.142  9554 

1.120  9203 

1.073  7000 

27 

2B 

1.173  1317 

1.149  3735 

1.127  3045 

1.084  1154 

23 

29 

1.180  1567 

1.156  3402 

1.133  2425 

1.089  1161 

29 

30 

1.186  7431 

1.162  3776 

1.138  7709 

1.093  7382 

30 

31 

1.192  9244 

1.168  0237 

1.143  9226 

1.098  0140 

31 

32 

1.198  7306 

1.173  3086 

1.148  7273 

1.101  9722 

32 

33 

1  204  1892 

1.178  2593 

1.153  2119 

1.105  6393 

33 

34 

1.209  3247 

1.132  9005 

1.157  4007 

1.109  0386 

34 

35 

1.214  1599 

1.187  2542 

1.161  3155 

1.112  1917 

35 

36 

1.218  7154 

1.191  3411 

1.164  9767 

1.115  1179 

36 

37 

1.223  0099 

1.195  1798 

1.163  4026 

1.117  8350 

37 

38 

1.227  0609 

1.198  7873 

1.171  6101 

1.120  3592 

38 

39 

1.230  8840 

1.202  1793 

1.174  6143 

1.122  7049 

39 

40 

1.234  4942 

1.205  3702 

1.177  4297 

1.124  8858 

40 

41 

1.237  9047 

1.208  3732 

1.180  0090 

1.126  9142 

41 

42 

1.241  1281 

1.211  2007 

1.182  5443 

1.128  8014 

42 

43 

1.244  1759 

1.213  8638 

1.184  8666 

1.130  5577 

43 

44 

1.247  0589 

1.216  3732 

1.187  0462 

1.132  1927 

44 

45 

1.249  7869 

1.218  7383 

1.189  0924 

1.133  7152 

45 

46 

1.252  3691 

1.220  9684 

1.191  0140 

1.135  1333 

46 

47 

1.254  8142 

1.223  0717 

1.192  8191 

1.136  4545 

47 

48 

1  257  1302 

1.225  0560 

1.194  5150 

1.137  6855 

43 

49 

1.259  3244 

1.226  9284 

1.196  1090 

1.138  8330 

49 

50 

1.261  4037 

1.228  6959 

1.197  6075 

1.139  9026 

50 

Ix)garithni  of  Present  \  alue  of  1  per  Annum  at  Compound  Interest 


TABLE  XIV. 


log  a- 


n 

5'-c 

- 1^  c  - 
0^2     C 

6^c 

' ':  c 

fl 

51 

1.263  3751 

1.230  3646 

1.199  0164 

1.140  8997 

51 

52 

1.265  2441 

1.231  9403 

1.200  3412 

1.141  8298 

52 

53 

1.267  0168 

1.233  4289 

1.201  5874 

1.142  6972 

53 

54 

1.268  6984 

1.234  8348 

1.202  7601 

1.143  5059 

54 

55 

1.270  2937 

1.236  1634 

1.203  8631 

1.144  2609 

55 

56 

1.271  8077 

1.237  4191 

1.204  9012 

1.144  9650 

56 

57 

1.273  2448 

1.238  6060 

1.205  8785 

1.145  6221 

57 

58 

1  .274  6089 

1.239  7278 

1.206  7983 

1.146  2353 

58 

59 

1  .275  9042 

1.240  7888 

1.207  6642 

1.146  8076 

59 

60 

1.277  1343 

1.241  7918 

1.208  4797 

1.147  3417 

60 

61 

1.278  3026 

1.242  7404 

1  .209  2476 

1.147  8403 

61 

62 

1.279  4121 

1.243  6376 

1.209  9707 

1.148  3058 

62 

63 

1  .280  4663 

1  .244  4866 

1.210  6517 

1.148  7405 

63 

64 

1  .281  4679 

1  .245  2896 

1.211  2933 

1.149  1464 

64 

65 

1  .282  4197 

1.246  0495 

1.211  8976 

1.149  5251 

65 

66 

1.283  3242 

1.246  7683 

1.212  4670 

1.149  8790 

66 

67 

1.284  1840 

1  .247  4488 

1.213  0036 

1.150  2094 

67 

68 

1.285  0011 

1  .248  0927 

1.213  5090 

1.150  5178 

68 

69 

1.285  7780 

1.248  7023 

1.213  9855 

1.150  8060 

69 

70 

1.286  5166 

1.249  2791 

1.214  4342 

1.151  0752 

70 

71 

1.287  2188 

1.249  8252 

1.214  8573 

1.151  3266 

71 

72 

1.287  8865 

1.250  3424 

1.215  2562 

1.151  5613 

72 

73 

1.288  5215 

1.250  8319 

1.215  6320 

1.151  7806 

73 

74 

1  .289  1254 

1.251  2953 

1.215  9863 

1.151  9856 

74 

75 

1.289  6997 

1.251  7342 

1.216  3203 

1  .152  1770 

75 

76 

1.290  2461 

1.252  1498 

1.216  6350 

1.152  3558 

76 

77 

1.290  7656 

1.252  5433 

1.216  9319 

1.152  5228 

77 

78 

1.291  2600 

1.252  9161 

1.217  21 17 

1.152  6787 

78 

79 

1.291  7301 

1.253  2691 

1.217  4754 

1.152  8247 

79 

80 

1.292  1776 

1.253  6032 

1.217  7242 

1.152  9609 

80 

81 

1.292  6033 

1.253  9200 

1.217  9588 

1.153  0881 

81 

82 

1  .293  0083 

1.254  2200 

1.218  1797 

1.153  2070 

82 

83 

1  .293  3937 

1.254  5040 

1.218  3«84 

1.153  3181 

83 

84 

1.293  7604 

1.254  7732 

1.218  5848 

1.153  4218 

84 

85 

1.294  1094 

1.255  0280 

1.218  7704 

1.153  5188 

85 

86 

1.294  4413 

1.255  2696 

1.218  9451 

1.153  6094 

86 

87 

1.294  7573 

1.255  4984 

1.219  1101 

1.153  6941 

87 

88 

1  .295  0581 

1.255  7152 

1.219  2656 

1.153  7734 

88 

89 

1.295  3444 

1.255  9206 

1.219  4121 

1.153  8471 

89 

90 

1.295  6168 

1.256  1 149 

1.219  5504 

1.153  9163 

90 

91 

1.295  8761 

1.256  2993 

1.219  6809 

1.153  9809 

91 

92 

1.296  1228 

1.256  4740 

1.219  8039 

1.154  0412 

92 

93 

1.296  3579 

1.256  6395 

1.219  9199 

1.154  0976 

93 

94 

1.296  5815 

1  .256  7963 

1.220  0293 

1.154  1503 

94 

95 

1.296  7943 

1.256  9449 

1.220  1323 

1.154  1993 

95 

96 

1.296  9969 

1.257  0857 

1.220  2297 

1  .154  2454 

96 

97 

1.297  1899 

1.257  2190 

1.220  3216 

1.154  2885 

97 

98 

1.297  3735 

1.257  3454 

1.220  4082 

1.154  3287 

98 

99 

1.297  5484 

1.257  4652 

1.220  4898 

1.154  3661 

99 

100 

1.297  7148 

1.257  5787 

1.220  5670 

1.154  4011 

100 

i  i 


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